{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "palette = 'muted'\n",
    "sns.set_palette(palette); sns.set_color_codes(palette)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Overfitting vs underfitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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u9frqPd6//0ASEpJ47rmn+MMfHsHhqOOtt4LX9fnqHyu0vODe2h/idZUTnXqF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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2472b31438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.array([4.,5.,6.,9.,12, 14.])\n",
    "y = np.array([4.2, 6., 6., 9., 10, 10.])\n",
    "\n",
    "order = [0, 1, 2, 5]\n",
    "plt.plot(x, y, 'o')\n",
    "for i in order:\n",
    "    x_n = np.linspace(x.min(), x.max(), 100)\n",
    "    coeffs = np.polyfit(x, y, deg=i)\n",
    "    ffit = np.polyval(coeffs, x_n)\n",
    "    \n",
    "    p = np.poly1d(coeffs)\n",
    "    yhat = p(x)\n",
    "    ybar = np.mean(y)\n",
    "    ssreg = np.sum((yhat-ybar)**2)\n",
    "    sstot = np.sum((y - ybar)**2) \n",
    "    r2 = ssreg / sstot\n",
    "\n",
    "    plt.plot(x_n, ffit, label='order {}, $R^2$= {:.2f}'.format(i, r2))\n",
    "\n",
    "plt.legend(loc=2, fontsize=14)\n",
    "plt.xlabel('$x$', fontsize=14)\n",
    "plt.ylabel('$y$', fontsize=14, rotation=0)\n",
    "plt.savefig('B04958_06_01.png', dpi=300, figsize=[5.5, 5.5])\n",
    "#plt.plot([10, 7], [9, 7], 's')\n",
    "#plt.savefig('B04958_06_02.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nnnkqfpxEARmJROJ//uxnb+LSS5fx9ttv8f7777Bq1T18/vO3ceutX0y67dvf\n/la34/3nf67hpZee59OfXsHll3+au+/+Dtdf3/37azD0/PlKR4DLHLgQOcjXfhgUPRbn5G6vn2wN\nYTEpuGzpC9BxCQrZAKyucjQ1SMBTl7Zzi5FJr9fzqU+t4H//9094PO4e2xsaTgLw2muvcMYZZ/L9\n7/+Aa665nlmzZlNbWwNEh9gNBiNerye+n8/no6Ulug5/MBjkkUd+BsC//MsNPPzwr7j11i/yxhuv\nEwqFkm473Ysv/oVvfOMevvzlO7n00mV4vV6A+DD/cJIeuBA5Ro0E8LvrsDgmdZv/VjWNE60hxhca\nU94TOFXsXvATrSFmTey6/9yaN5W24x/ga6vq8cFCiNtuu4OPP97JHXd8gVtvvZ3Zs+fi8bh59dVX\n+MtfnuGMM84kLy+PqqpD7N69C6fTxfPPP8fevbsZN248ALNnz+GJJ37L3/++gRkzZvLkk/+JXh/9\nsGoymdixYxvHj9fz5S/fSTgc5oMP3mPWrNkYjcak207ncuXx3ntvM3v2XBobG3jkkZ+hKAqhUHBY\nv18gAS5EzvG313Te/13e7fVWd4RgWEvr8Dl0Dc+faOnZAwfwtldRgNwPLrozm8386leP8dxz/8sf\n//gHjh6tRafTMXPmbFat+j6f/ORy/H4/Bw7s41vfuhOj0URl5Vl84Qtf4rXX1gGwYMFCVq68iYcf\nXo1Op+OGGz7L/PldT8J78MHV/OIXP+GOO24FYNGiJXzjG/f2ue3UD7yrVn2Pn/3sx9xyy40UF5dw\n1VXXYDIZ2b9/HxdcsAhI34fj0ylaJvr9g5TueZjeDMc8UDaT6x8519945DWaa15nwpxbcRTNjb++\np9bH6j8f46qF+XxmUdGAjjmQ6291h7nrP49w7nQ7X7tqXLdthzf+AC0SYur596d1FCCVRtLffTrI\n9Wf2+ktKki8iI3PgQuSYWAHbqfd/w/AUsAHk2fWYjUr8fKeyusqJhD0EfSfT2gYhRgMJcCFyiKZG\n8HccwWQbi95o77YtHuAF6Q1wRVEYm2/kRGuoR2FPbFg/9iFDCDF4EuBC5BC/pw5NDWF1Te2xrWsV\ntvQ/lGFsvpFASKPNG+n2eqxdvnYJcCGGSgJciBzijw2fn1bABtEeuMWokJfGW8hixiQpZDPZxqAz\n2PBLgAsxZBLgQuQQX8cRgB7LlWqdt5CNyU/vLWQx4/IT3wuuKDqszsmE/M2Eg6O3MEqIVJAAFyKH\n+Dtq0Bv8ERAgAAAgAElEQVQdGMyF3V5v6byFbFya579j4k8la+lZyGbp/HDh76gZlrYIkaskwIXI\nEeFAG+FAKxZnWY9e9vGW6CIT49L0GNHTje8twJ0S4EKkggS4EDnC1xmIiVY5q+8M0vHD1AN32fRY\nTbr4B4dTWZyTAPC1HxmWtgiRqyTAhcgR/vj8d4IAb44G+HANoSuKwviC6K1kqtr9VjK9wYrJOga/\nuxZNG9hjKoUQXSTAhcgR/vYaQMHimNRjW6wnPL5weAIcYFyhkXAEGtrDPbZZXGVokQBB74lha48Q\nuUYCXIgcoGkR/O5aTLZx6AyWHtvrW0Lk2fTYzMP3GM/xnfPtx5sTDaNH58FlGF2IwZMAFyIHBDzH\n0dQQlgTD58GwSmNbeNiGz2Nivf36BIVs1s55eilkE2LwJMCFyAHx+e8EBWwnW0NoDO/wOXTNtycK\ncJN9LIrOFG+3EGLgJMCFyAHR+e+uoelTxQrYxg/TLWQx4/KNKCQeQlcUPRbnJILek0TCvmFtlxC5\nQgJciBzg6ziCTm/BZBvTY1usBzxumHvgJqOOIpchYQ8cYh82NPwdtcPaLiFyhQS4ECNcJOQl5GvA\n4pyEovT8ka6PVaAP8xw4RIfRWz0RfIGet4vFbneTeXAhBkcCXIgRzu+O9mATLeACcLw5hF4HJXnD\nH+CxYfv6hAu6xAJc5sGFGIy0BbimaXz/+99n5cqV3HLLLdTWdh8m++Mf/8j111/PDTfcwLp169LV\nDCFynr/zVqxE89+aplHfEn2IiV6X/oeYnC5WOJdoSVWDyYXBXIC/vabHc8OFEH1LW4Bv2LCBYDDI\n008/zd13383q1avj21paWnj66ad55plnePLJJ/nxj3+crmYIkfNiTyBL1APv8EXwBtSMDJ/DKZXo\nzYnnwa3OMiJhDyF/03A2S4ickLYA37JlC4sXLwagsrKSXbt2xbcVFBTwwgsvoNPpaGhowGw2p6sZ\nQuQ0TVPxd9RgtBRhMDl6bD+WoQr0mAmFyYfQgfh96zIPLsTApS3A3W43Tqcz/rXBYEBVuwpZdDod\nf/zjH1m5ciUrVqxIVzOEyGkhXyNq2Jd0/vtYUzQ4JxRlpgde4NBjMSnUNSUJ8Ng8uKzIJsSAGdJ1\nYIfDgcfjiX+tqio6XffPC5/73Oe48cYbuf3229m4cSMLFy7s9ZgFBTYMhuFbCvJ0JSXOvt+Uw+T6\ns+/6Tx6JjmwVT5iRsH0tvjYA5lYUUFJiG9K5Bnv9ZWOsHKr3UVjoQK/vPg+vFs7i6A49YX9dVn5/\nY7K5bcNBrj87rz9tAX722Wfz5ptvsnz5crZt28aMGTPi26qqqvj5z3/Or3/9a/R6PSaTqUe4J9LS\n4k1Xc/tUUuKkoaEjY+fPNLn+7Lz+k8f2ARBRxiZs38Gj0Q/RVl1oSO0fyvWPydOz76jGxwebGV/Y\ncyjf7JiAu7WGE8eb0ekzM1LQm2z9ux8ucv2Zvf7ePjykLcCXLVvGu+++y8qVKwFYvXo1a9eupays\njKVLlzJz5kxuvPFGFEVhyZIlLFiwIF1NESJn+TtqURQ9ZvuEhNuPNQUpdBqwmjJ3x+iEzkr0Y82h\nhAFucZbh76gl4DmG1dWzkl4IkVjaAlxRFB544IFur5WXl8f/fOedd3LnnXem6/RC5DxNDRP01GOy\nj0fR9fxR9gYitHgizC+zZqB1XSYURUO7rinIOdPsPbZbHBMBCLiPSoALMQCykIsQI1TAexxNi8QD\n8HTHmqIV6LEAzZTSzl73sSSFbObO9scWpBFC9I8EuBAjlL/jKNAVgKer63yIyIQEw9bDqdhlwKhX\nOJbgoSYAJtuYzieTHR3mlgkxskmACzFCBdzRwLM4k/XAo4FZmqFbyGJ0OoXxhUaONYdQE6y4pig6\nLI5Sgt4TqJFABlooxMgkAS7ECOV3H40WsNnGJdweW8Ql0z1wgNIiE8GwRlN7OOF2s3MSoBFwHxve\nhgkxgkmACzEC9VXABtGisTybHoc1c2snxEzoYx7cEp8Hl2F0IfpLAlyIESjgPdFrAVsgpNLUHs7Y\nCmyni7WjLsma6BYpZBNiwCTAhRiBYvPfyQrY6ptDaHRVgGdaaVHvPXCjtRid3kxACtmE6DcJcCFG\noFjFdrIeeF18DfTsCPAxeUb0OjiaJMAVRYfZMZGgr4FI2D/MrRNiZJIAF2IE8ruPgqLHZE9cwHa0\nMRqUE4uzI8ANeoUJhSbqmoIJK9Eh9mFEI+CuG97GCTFCSYALMcJoaoSgpx6zfRy6JAVstbEAz5Ie\nOEQ/TARCySvRLc5JgMyDC9FfEuBCjDDRFdjCSYfPITpUXWDPjgr0mNhoQOzDxenM8SVVpQcuRH9I\ngAsxwnQVsE1KuN3jj9DcEaY0S4bPY2KjAUeTBLjRUoTOYJUeuBD9JAEuxAjT3wK2SdkW4MW9B7ii\nKFgcEwn5GomEfcPZNCFGJAlwIUaYkVbAFlPkMmAxKkkDHLpGFQKyoIsQfZIAF2IE6U8BW1eAm4ez\naX3SKQqlxSbqW4KEI0kq0TvXdZcHmwjRNwlwIUaQ/hSw1TYGUYAJhdmxCtupJhaZiKhwvKWvJVVl\nHlyIvkiACzGC9LUCm6ZpHG0KMibfiNmYfT/ek/qoRDeYC9Ab7DKELkQ/ZN9PuBAiqdjDPpL1wFs9\nETx+Nevmv2P6U8hmdk4k5G8mEvIMZ9OEGHEkwIUYQQLxArbxCbfHgjHbKtBjYvPyvRWyWRyxBV2k\nFy5EbyTAhRghNDVCwF2P2dafArbsDHCXTY/Lpk86hA5dowsyjC5E74YU4Pfddx8NDQ0Jt2maxp13\n3onPJ/dzCpEKQe8JNC2M2Zm8gO1IQwCAySXZGeAQbVtjexiPP5Jwu1kq0YXol0EH+D/+8Q/GjRtH\nSUlJwu2KonDDDTfw6KOPDrpxQogufc1/A9Q2BDEbFcbkZ18FeszkkugwetJCNlMeeqNdhtCF6EOf\nAb5x40Zuvvlmbr31VpYvX859991HMBjkiSee4JprrgHgrrvu4pFHHgHgscce45vf/CYAixYt4vXX\nX8fjkWIUIYYqdmtVsgAPhlWONQeZVGxCpyjD2bQBiY0O1JwMJNyuKApmx0TCgRYpZBOiF/3qge/c\nuZP777+fV199lUAgwFNPPUV1dTXl5eUA3H///fz1r39l/fr1PPvsszz44IPRg+t0zJw5kw8//DB9\nVyDEKNFXAduxphARtauHm61i7atp6HseXHrhQiTXrwBfsGABZWVlAKxYsYL333+fMWPGxLcXFhby\n7W9/m7vuuovvfe97OJ3O+LYJEyZw5MiRFDdbiNGlPwVsNbH57zHZO/8NML7QiFGvxNubiFkK2YTo\nU78C3GDo+oWhqiqKomA0dp9jO3z4MMXFxezatavb63q9HiWLh/OEGAn6U8AW69GWZXkPXK+LLqla\n1xRKvqSqQwrZhOhLvwJ8y5YtnDx5ElVVeeGFF1iwYAH19fXx7Xv27OGFF17gueee49lnn2Xv3r3x\nbXV1dfHeuxBicLoK2EqTvqemIYBC9t5CdqqyEhOhiJZ0SVWDOR+9QQrZhOhNvwK8pKSE++67jyuv\nvJJx48bxhS98gcmTJ3Po0CHC4TCrVq1i1apVjB07lvvuu49Vq1YRiURQVZU9e/Zw4YUXpvs6hMhp\nfVWga5pGTUOQcQXZuYTq6Sb1MQ8eW5FNCtmESC7xZNppiouLefLJJ7u9dtttt/Hss89y33338fzz\nz8dfv/zyy7n88ssBeOONN1i2bBlmc3YP6QmR7aIFbLqkBWyN7WG8AZX5U2zD3LLBKeusRD9yMsCF\ns50J32NxTMTbsg+/uw57wYzhbJ4QI8KgP6ovXbqUhoaGXhdyefbZZ/nKV74y6MYJIUDTIgQ8xzoL\n2BLf3x3ryWbzAi6nmhS7layXSnQpZBOid332wBcuXMgf/vCHhNsefvjhpPspisJvf/vbwbdMCAF0\nFrCp4aRPIINTKtBHSIDbzHpK8gzUNATQNC1hoavcSiZE7/o1hC6EyJxYJXZvK7BVdy6KksoK9IDq\n55WWv+KLeDG3Gag0ncc066yUHb+sxMzmgx5a3BEKnT1/FcUK2aQHLkRi2V/tIsQoFy9g6+UWsuoT\nAfLtevIdqftMvtWzie2ezez372Zn2w7WtTyPpiW+7WswpoyNftioOtHLimzxR4t6U3ZeIXKFBLgQ\nWS7gruu1gK3NE6bFHYkHYipomsYW9/vo0PONCd9lQeFCmsINVAcOpewcU8ZE21udJMBBhtGF6I0E\nuBBZLFrAVtdrAVssAGOBmAq1wWoaQieYbZtPvqGQxSUXA7DF/UHKzhH7wFGdZE10kEI2IXojAS5E\nFutPAVtVZwCWp7AHvrnjfQDOcZwPQIV9GsWGsezx7sATcafkHC6bnkKngeoTgaRD87GFa6QHLkRP\nEuBCZLH+FLAdORG9FStVQ+jeiJePvdspNBRTbp4GROejFzjOJ0KE7Z7NKTkPQPkYM23eCC3uxM8G\nN5gL0Bls0gMXIgEJcCGyWKzn2dsa6FUnA+TZ9RSkqIBth2czEcKc4zi/2+1dZ9gXoMfAFvcHKStm\n62sYXVEULA4pZBMiEQlwIbJYrIDNnKSArd0bobkjnLL5b03T2OL5AD16zrSf222bTW9jrq0ypcVs\nU8ZG71vvtZDNKYVsQiQiAS5ElurPCmypLmCrCVTFi9fsekeP7bE58S3u91NyvvI+biUDKWQTIhkJ\ncCGyVNB7Ek0N9VrAFht6TtX8d6zK/BzHBQm3TzaXU2wYy27vzpQUs7lsBgod+l4r0eVWMiESkwAX\nIkv15xGisZ5rKirQTy1em2KuSPieWDGbSoRtnk1DPidEP3y0eSK0uMMJt3cVstWl5HxC5AoJcCGy\nVKAjVsA2Kel7Dh/3dxaw6Yd8vu1JitdOd2oxm6qpQz7v1HEWAA4f76uQrUkK2YQ4hQS4EFnK3/kI\n0WQFbM0d0RXYKsaZew3c/lA1lY3ud9Bj6FG8djqb3sY8+5k0hxs55N8/pPMCTB0XHT04fNyf9D1d\n8+DSCxciRgJciCzUnwK22PB5rAc7FAf9e2kJN3GG/eyExWunO8+5CIAPO94e8rljw/+HkvTAQRZ0\nESIRCXAhslB/CtgO1Ud7rLEe7FB82PEOAAs7g7kvE0yTmGSewkH/XppCDUM6t92iZ3yBkarjAdRk\nK7J1TiNIgAvRRQJciCzUnwK22JzxUAO8MXSSQ/59TDZPZbwp+flOd54jGvYbO94d0vkBpo434wuq\n1DeHEm6XFdmE6EkCXIgsFC9gS9IDV1WNwyf8jC80YjMPrYBtY2fv+7x+9r5jZtvOwKl3sdWzkYCa\nfP66PyrihWyJj9OtkC3sG9K5hMgVEuBCZKFoD1yH2T4h4fb6lhD+oBYPvkGfR/WzzbMZlz6PWdZ5\nA9pXr+g513ERQS3AtiGujx4bRehtHlwWdBGiOwlwIbJMrIDNZB+LTp+4gC3WUx3q8Pk2zyaCWoBz\nHRehVwbekz/HcT56DGzseGdIt5RNLjFj1CtJbyWDUwrZOiTAhQAJcCGyTqyArbcnkB2qjwZdxfjB\n98BVTWVjR/TWsbMd5w3qGHa9g3n2M2kKNwzpljKDXmHyGBO1DQGCocQfBGRNdCG6kwAXIst0FbD1\nEuDH/Rj1CpOKTYM+zyH/PprDjcy3n9WvW8eSic2dx+bSB6tinIWICkcaggm3G8yF6AxWGUIXopME\nuBBZpq8V2PxBldqGIFPGmjHoB7+Aywed93APtHjtdLFbyg7499AYOjno40wbH50OOHhMCtmE6A8J\ncCGyTF8rsB0+HkDVYPqEwQ+fHw8e45B/H2XmCsabkvf0++t85xIA3u94a9DHmNZ5PQeSBDhIIZsQ\np5IAFyKLRAvY6npdgS0WcEMJ8Pfa/wHARa5PDPoYp5ptnU+BoYht7s24Ix2DOkaR00CBQ8+BY360\nZAu6yJPJhIiTABciiwS9J9DUcK8PMIkFeGzIeaDawi3s8m6lxDiWaZZZgzrG6XSKjgucFxMhPOi5\ncEVRmD7BQps3QkNb4ieTxXvgHbImuhAS4EJkkdgtUskK2FRN42C9n7H5RvLshkGd44OOt1FRudD5\nCXRK6n4FnGk/F5vOzkb3uwTU5LeD9aavYXSjJVrIJj1wISTAhcgqfnctABZH4h54fXMIb0Bl2oTB\n9b59qo8t7g9w6F3Mt5896HYmYtKZONdxEX7Vx1bPxkEdY3rnbXEH6vsqZGuUQjYx6kmAC5FF/B1H\nURQ9Jvu4hNuHOv+9xf0+QS3A+c7FGJTB9eB7s9B5EQbFyAft/ySiRQa8f9mY6IIuySrRAcydC7rI\no0XFaJe2ANc0je9///usXLmSW265hdra2m7b165dyw033MCNN97Ib37zm3Q1Q4gRQ1PDBD3HMNnH\no9MlDtd4gA9iAZewFuaDjrcxKWYWOC4YUluTsesdnGU/l9ZIM7u9Owa8v0GvMHWcmdrGIL5AkgVd\npJBNCCCNAb5hwwaCwSBPP/00d999N6tXr45vq62t5eWXX+aZZ57h6aef5p133mH//sGv4iRELgh4\nT6BpkV4XcDlwzI/VpKO0aOALuOz0fIQ70s45jvOx6KxDaWqvLnBejILCe+3/SFpN3pvpEyxoGhxM\nMowut5IJEZW2AN+yZQuLFy8GoLKykl27dsW3TZgwgSeeeAKIzmmFw2HM5qE/01iIkczf0Tn/naQC\nvd0b5nhLiGnjzeh0A1vARdVU3uv4Bzp0nO9cPOS29qbQWMxs63zqQ0epChwY8P7TS/sqZCuSQjYh\nSGOAu91unE5n/GuDwYCqRofE9Ho9+fn5APz4xz9mzpw5lJWVpaspQowIsR5lskeI7j0aDbRZkwbe\ne97r20VD6ATz7WeTZygYfCP76SLXUgD+2fbGgPedMcGCAuw9mrhITVEUzPZSQj4pZBOjW+qrWDo5\nHA48Hk/8a1VV0em6Pi8Eg0FWrVqF0+nk/vvv79cxCwpsGAxDe/bxUJSUOPt+Uw6T60/v9dftPIai\nM1BaNh2drue/85r32wA4b24hJSX9X7tc0zTe3/N3FBSunrKCEsvgrmMg11/CXGb75rKn/WParSeo\ncEwbwL5QPt7CoeMB8grsmAw9+xmesVOpazuIxdBCfsmYfh97sOTfvlx/NkpbgJ999tm8+eabLF++\nnG3btjFjxoxu2//93/+dCy64gNtvv73fx2xp8aa6mf1WUuKkoWFwK0zlArn+9F6/qobwtNVhcZTS\n1JT43/m2g+0Y9QoFZnVAbdnn202tr5Z5tjPRddhp6Bj4dQzm+i+wLmVP+8e8cOQFbh7zpQHtWzHW\nzOF6Pxt3NTKztOeIg6qLhvaJo/sJkfiZ6aki//bl+jN5/b19eEhbgC9btox3332XlStXArB69WrW\nrl1LWVkZkUiEzZs3EwqFeOutt1AUhbvvvpvKysp0NUeIrBb01IMWSTp87vFHqG0IMmuiBaOh//Pf\nmqbxVtt6AJa4lqWkrf012VxOuXkah/z7OBqoYaJ5cr/3nTnRwuvb2th31J8wwKWQTYg0BriiKDzw\nwAPdXisvL4//efv27ek6tRAjTl8rsO0/5kcDZk4c2Pz3If8+jgVrmW09gzGmxPeWp9OSvGVUnTzI\nP9te51/H3Nbv/WZNjBay7Tvqg/N6ztlLIZsQspCLEFkh/gzwJBXoe2ujxVozJ/b//u9o7/t1AJbk\nXTbEFg7OFHMFk83l7Pfvpj7Y/7B12QyMLzRy4JifiNrzVjQpZBNCAlyIrBBwH0XRGTHZEhdk7avz\no9fBtAEs4FIVOEhtsJoZ1jmMN5WmqqkDoihKfOj+rbYNA9p3VqkVf0jjyMnE66pbnLFhdFmRTYxO\nEuBCZJgaCRHwHMfsKEVRelaf+4Mq1ScCTBlrxmzs/4/sPzt73xcP89z36SosMyg1TWavbycngvX9\n3i822hC7fe50siKbGO0kwIXIsIDnGKAmnf/eV+dD1WD2AOa/j/gPUx04xDTLLEoHUDyWDoqicHFe\nZy+8/fV+7zer83r31CYeIu8qZJMeuBidJMCFyLCuJ5AlDvDdNdEAmzO5fwGuaRpvtL0CwMV5n0xB\nC4duumU2E0yT2O3dTn2wf4Fb6DQwvsDIvqM+wpGe8+BGSxE6vUV64GLUkgAXIsMCnUuoJruFbHet\nD4O+/08gO+jfS02gipnWuUwyZ8cKh4qicGneFQD8vXVdv/ebPTk6D151ouc8uKIomB2lhHwNUsgm\nRiUJcCEyzN9Ri05vTljA1uGLUHMyyPTxln7Nf6uayhut6wCFpXnL09DawZtqmcEUcwUH/HuoCVT1\na5+5ncvGxkYhTmdxRqcHAh3SCxejjwS4EBkUCfsI+k5idkxCUXr+OO6t9aER7Yn2xx7fTo6H6phv\nO5NxpvSuUDZQiqJwSX60F/5G6yv9elLZrElWFGB3TeLV6WIB7uuoSVk7hRgpJMCFyKDYE8isrsSF\nZrs7C7jmTrb1eayIFuHvretQ0PGJLOt9x0w2lzPDMocjgcMc8vf9CGGnVc/kMSYO1PsJhno+H9za\nGeB+CXAxCkmAC5FBseCJ9SRPt7vGh9moUD6278ft7vBsoSncwNmOhRQZi1PazlRamh/9cPFGW/96\n4XMmWQlHoqvRnc5gzsNgysPfUTOoZ48LMZJJgAuRQf6OI0DiAG/uCFPfEmJmqRWDvvf1z8NamH+0\nrUePYdjXPB+o8aZS5trOpD54lD2+nX2+f04/5sEjoQ7CgZaUtlOIbCcBLkSGaJqGv6MGgzkfg8nV\nY/vHnfO+c8v6nv/e7H6ftkgLC50XkWfIT3lbU21p3nIUdPy99VUiWqTX986caEWvg13JAtwlw+hi\ndJIAFyJDwoFmIiFP0uHzndXRwJpf1vv8t0/18VbbesyKhUWuS1LeznQoNpZwln0hjeETbHVv7PW9\nFpOOGRMsHDkRoN3bM+wtMg8uRikJcCEyxNeefP5bVTV2HfFS4NBTWmTs9Thvt23Ap3pZnHcpdr0j\nLW1Nh6X5l2NUTLzZ9ip+NfFyqTHzptjQgF1HelajRxfAUaQSXYw6EuBCZEhvBWzVJwO4/Srzy2wo\nSvL57+ZwEx92vE2evoDznIvT1tZ0cOpdLHJdgkd1827733t97/wp0VGInQkCXKc3Y7KPI+A+iqb2\nPhwvRC6RABciQ6JLqOoSLqEaHz6f0vvw+YbWvxEhwmX5n8ao9N5Tz0YXOC/Gqc/j/Y63aA0nL0Kb\nXGLCZdOz64gvYbW51TkZTQ0T8B5PZ3OFyCoS4EJkgKZGCLiPYraPQ6c39di+84gXRYG5vSzgUhOo\nYrd3O6WmycyznZnO5qaNSWfi0rxPEdbCvNH6StL36RSFeWVW2jwRahuDPbZ3zYMfSVtbhcg2EuBC\nZEDAU4+mhhMOn3sDEQ4e8zN1rBmHtefjRSFawb6+5SUALi9Y0eswe7Y7w342440T2en9iLpA8nns\nWDHfzuoE8+BSyCZGIQlwITKgt/u/P66JPj60t+Hzj73bOBo8whzrGUw2l6etncNBp+i4vGAFAK+1\nvpR0QZb5U6KjETsSBLjJNhZFb8bfLgEuRg8JcCEyoLcCtu2HowF1RpIAD6pBXm/9Gzr0XJb/6fQ1\nchhNsVQw0zqXmsBhdvt2JHyPy2agfKyZ/XV+vIHuxWqKEq0lCMqTycQoIgEuRAb4OmrQ6S09nkCm\nahrbq7w4rTqmjk+8fOo77W/QFmnhAtcSCrN4ydSBujx/BXr0vNbyAgG15+NDAc6caiOiwq4jPUPa\n4iwDtPj68kLkOglwIYZZJOQl5GvA4uz5BLLqEwHavBHOnGpHl2BeuynUyLvtb+LS52X9kqkDVWgs\n5iLXUtojbbzdviHhe86cagdg62FPj23yYBMx2kiACzHMorePJR4+39Y5fH5mec/hc03TeLXleSJE\n+GT+Csy6vh9wMtIscl1Knr6A99rfojF0ssf2sjEm8u16dlR5UdXuc+WypKoYbSTAhRhmvc1/bzvs\nQa+Lrjx2un2+jzng30O5eTpzbZVpb2cmmHQmlhdcjUqEV1r+2qOgTacoVJbb6PCpHDrefZjdYHJh\nMOfLk8nEqCEBLsQw6wrwSd1eb+4IU30yyOxJVqym7j+aITXEqy0voEPHpwqvHdG3jfVllnUe0yyz\nOOzfn/BpZbFh9G0JhtGjTyZzy5PJxKggAS7EMNI0DX974ieQba9KPnz+TvsbtEaaOd+5hBLj2GFp\na6YoisIVBdegR8+rLS8QPK2gbe5kK0a9Ep9uOFVsVMPXLgu6iNwnAS7EMAr5GoiEPVhdPe/d3nIw\n2qOM9TBjmkINvNP+Jk69i4vzcqtwLZkiYwkXuj5Be6SVt9pe77bNYtIxe5KV2sYgJ1tD3bZZXVMA\n8LdXD1NLhcgcCXAhhpGvvQqgR4D7Aiq7a71MLjExJr9rTXNN03ip+c9ECLO84BrMOsuwtjeTFrsu\nI19fyHsdb1EfPNpt2znToh9yYh96YsyOiSg6Q/z7LEQukwAXYhjFAzxvSrfXt1d5CEe6gilmq2cj\n1YFDzLTOZY71jOFqZlYw6UxcVXg9GiovNv+ZiNa1eMs502wowObTAlynM2BxTCLgqScS7v0RpUKM\ndBLgQgwjX3t15wIu47q9HguiBacEeEeknfUtL2FSzHyq4LqcLlxLpsI6k0r7AuqDR/mw4+346y6b\ngRmlFg4e89PmCXfbx5pXTnRBF5kHF7lNAlyIYRIOdhDyNWJxTem2gEswrLKjysuYPAMTi7ueTLau\n+a/4NR/L8q8kz5CfiSZnhcvzV2DTOfh726s0h5vir58z3Y4GfHSoezGbpXN6wtcmw+git0mACzFM\nfJ2FVafPf++u8eEPaZwzzR7vZe/17mK3bweTzFM4x3H+cDc1q9j0dq4ouJqwFuLl5mfj93ifUxGb\nB3d3e7/VWQYoMg8ucp4EuBDDJNn89+YDncPn0x0A+FU/f2v5C3r0rCi8AZ0iP6bzbGcx3TKbw/79\nbIK3wOEAACAASURBVPdsBqAkz0jZGBMf1/jw+Lvmx/VGGybbuOiCLmok2SGFGPHkN4MQw8TfXgWK\nHoujawW2cERj80EPBQ49FZ0PL3mt5QU6Im0szrss5+/57i9FUfh04b9gVEy82vIC7eE2ABbOcBBR\n4aND3YvZrK4paGqIgKcuE80VYlhIgAsxDNRIAL+7DotjIjp9121iu4548QZUFs5woFMU9nk/Zqtn\nI+OMpSxyXZLBFmeffEMBl+evwK/5eLH5GTRNY+GM6KjFh/tOG0bP65wHl/vBRQ6TABdiGPg7akFT\n4wuNxMSC57wZDjwRNy82/xk9eq4t+iwGxZCBlma3cxznM80yi4P+vWxxf8DYfCNTxpr5uMZHh69r\nuDz2fZZCNpHLJMCFGAZd899dBWzBsMqWQx6KXQamjjPxt5a/4FE7uCT/CsaaxmeqqVlNURRWFN6A\nRbHyWuuLNIcaOW+GnYjaVUsAYDAXYDDl4WuvkgebiJwlAS7EMIj1BC3OKfHXdlb78Aejw8Af+7ax\n27udyeZyLnBenKFWjgwuQx6fKryOkBbk+eanOXdGdO34D/d3DaMrioI1r5xIyE3I35ippgqRVhLg\nQqSZpqn4O45gtJZgMDnir8eGz+fNiPC35r9gVExcU7hSqs77Yb7tLOZYz6AmUMUB5T0qxpvZU+vr\ntqiLJTaMLvPgIkfJbwoh0izgqUeNBLrd/+0Lqnx0yMPYfAMfKX/Br/n4ZP5VFBqLM9jSkSNWlW7X\nOfl76zrmz3GjafDBKcVsVlnQReQ4CXAh0izR/PfmA26CYY1p5+7kcOAA0y2zWeC4IFNNHJHsegdX\nF91IhAi1xc+jN4R4b09XgJvt49HpzbKgi8hZEuBCpJm/rRrovgLbu3vcmAtPcCLvLZx6F9cUrRyV\na50P1QzrbC5wXkxLpIGKRe9TdSLAseYgAIqiw+KaQsjXQDjo7uNIQow8EuBCpJGmafjaq9AbnRgt\nRQA0d4TZe6yV0gtfR0XjuqLPYdc7+jiSSObS/E8x3jSRcPEu7JMO8O7ujvi22IcmeT64yEUS4EKk\nUTjQQjjYhtU1Jd7Dfm9vO8XnvAWWdpa4LqXcMi3DrRzZDIqB64tuxqSYKTn7H3xQfRS189ax+P3g\n7Ycz2EIh0kMCXIg08rYeBMCaNxWI9sg/aPkQx6SDlBqncHHeJzPZvJxRZCzm04X/gs4YwjjvVXbX\nRofMLc4yFEWPt+1QhlsoROpJgAuRRr7O4LDlR3vZm+ur0E1/EyVs5jMln0Ov6DPZvJxSaT+HKZyJ\npfAkrzS9BIBOb8TiLCPgPkYk7MtwC4VILQlwIdJE0zS8bYfQG+yYbGPxqV5e8/4RnT7C+brryTcU\nZrqJOeezpZ9BdRfhLdrC5tboU8us+RWAhq9NhtFFbpEAFyJNQv4mwoFWrHlT0YBnG/5I2NSK/9C5\nLJt8Vqabl5PMegvzfTeghky80vZnjgePYcurALqmM4TIFRLgQqTJqcPn/2zfwKHAXrzHJ3Gu+TJ0\nOrllLF2WzZxCw6ZLUZUwzzT+NzjGoCiG+N+HELlCAlyINIn1+E5aFP7Rth78Lho2LmPJ3LwMtyy3\n5TsMzLDOpWXv2TSHG3m+5c9YXGUEPMeIhDx9H0CIEUICXIg0iM1/K0Y7f/H8DT16jr7zSWaPL6Ak\nz9j3AcSQfGKei5ZdC7F4p7Dft5sTlujrXpkHFzlEAlyINAj5GogE2zlmDuPX/BSc+CTB1jFccoYr\n000bFc4ot1HoNFH91iW4dAV8SHQ0xCfz4CKHSIALkQbu1v0A1Jr8nGtbwo4Pyil06Dmrwp7hlo0O\nep3CJWe48HosVLTcQLvFRFiBtpY9mW6aECkjAS5EGlSf/CcA5rwKzHVL8Ic0lp6Rh16K14bNxfOc\n6HXwwUcWri3+HCcsoPmbafHUZrppQqSEBLgQKbap/R1M7ia8Rj1Xjb+Vv29zo9fBxfOdmW7aqJJn\nN3DudAd1TSForiCvYA4Ab9f9gaAazHDrhBg6CXAh/j977x0fV3nmfX9Pmd6kUa+WbVnu3YBNtQ2m\nhCQEQggQIMmSQnjzpCebfXfflH3fPGyym32y7z4pZLOBhBJIgFADhGpKcO+WJXdbvYxG0vSZU54/\nzmgkWZIt2ZLGss7385nPOXPa3Pecc+7fdV13G0eOxOrZ3PYsVl3A71/CsWZoDCRZWe0ixyVnO3nT\njquXGW0OXtvZw4KiGwCwh7p4NvAHNF3LZtJMTM4ZU8BNTMaJ5mQjT3b+jpKYESbP9S/hle3dAFy3\nIiebSZu21JTaqSq0su1whF4lD8nqpTQhUxvdw6vdz6OnJz0xMZmKmAJuYjIOBJUAj7X/hqSeZJFa\nAAiEqWTX0Sizi23MKbVnO4nTEkEQuG5FDroOr+3qxZUzB6uqMlPPY3PoXf4WejvbSTQxOWtMATcx\nOUciaphH2n9NRAtxg/dGhEgndk8Fr+1OogPXrzS972xyyVw3uS6Jjft6kdzGpDIbxOV4JB+vdb/I\nnsj2LKfQxOTsmDAB13Wd73//+9x+++3cc889NDQMbfnZ1dXFddddRzJpNigxmZoktQSPd/w3XUon\nl3vXs1AtBF1Ddlfzzv4QeR6ZVXPMrmPZRJYErlnuI57U2dlSAoDW08BdBZ/HLjh4NvAkR+IHs5xK\nE5OxM2EC/vrrr5NMJnniiSf45je/yQMPPDBo/3vvvce9995LIBCYqCSYmEwoiq7wx87f05Q8yVLX\nKq72fYhIsB6Afe1lJBWda5ebXcfOB9Yt9mKVBf6yQ8HqLCHWc5QCKY/bCz6LADzZ8TCNiZPZTqaJ\nyZiYMAHfvn07V1xxBQBLly5l3759g/ZLksTDDz+Mz2eOC20y9VB1lac7H+VwvI5q+zw+6r8NgEjX\nAQTJzvO73bhsImvNkdfOC9wOiXVLvHSFVbq0Wei6QrTnMFX22Xw8/y5SepJH239Na7I520k1MRk1\nEybg4XAYj6e/36ssy2haf7eNNWvW4PP5zFagJlMOTdd4LvAkB2J7qbLN5pP5n0ESJJKxdpREkBCz\n6I3BhuU+HNap28xEaTxJ5MVnCT/9JC2//z3xbZvRU1O3uuuGlTlIIrx1uBiASFcdAAucS/hY3u3E\n9Ri/b3+QjlRbNpNpYjJqJqxjqtvtJhLpn/lH0zREcWhhJgijDy/m5jqRZWlc0nc2FBRM74E4zPx7\n0HWdP5x8lD3R7cx0zeLLc76KXTJamDcd2gTAlqYybBaRO64pwzvF+n5r8Tg9mzfT/fbbxI8dy2yP\np5fRF/+M79JLyV23DltpaXYSeZYUFMDVK0K8tk3jw5V24j315Oe7EQSBawrWYXOJPHHyMR7t/DXf\nmPtt8m0FA841n/3pzPma/wkrXVasWMFbb73F9ddfz65du6ipqRn2uLF44MFgdLySN2YKCjx0dISy\n9vvZxsy/h/b2Xl7tfp5NoXcptpRyW+7fEepKESIFQNvJXQDsbill7RIPiWiMjuw9smNCaW4kvul9\nEju2oSfiIAhYFyzGfsmliHn55HqstG58n/iWDwi+9hrB115DnlWNffVl2BYvRZCnxgxrVy928dq2\nLk6EKqjSDtF08gg2ZxEA81jBtTkh/tr9PP/rwE/5bNH9+ORc89k385/V/J/OeJgwAd+wYQPvv/8+\nt99+OwAPPPAADz/8MDNmzGDdunWZ48bigZuYZAtd13kl+Bybw+9SYCni7sIv4hAdmf2qEifWe4z2\nWCFJ3cUNU6DrmJ5Mkti9g/im91FOHgdA9OXguHIdtovXIOXkZo61F3hw3eDHee2HSO7fQ3zT+6QO\n1RM+epiI04X9otXYL7kUqaAwS7kZHSW5Vi6Z62ZPWzlVsw4R6TqQEXCAS71XkdQTvN3zKg+1/YJP\nF32JAs5P78vERNCnUCV0tq0g0wqdnvnXdI234i/ybsdGCizFfLrwPtzS4EI91LmXlgO/452mldiL\nNnDXuvwspfbMKK0txDe/T2L7FvRYDAQBy9z52FdfjnXeAgRpaDXVcPdf7ewgvul9o248EgbAUl2D\nffVlWBcuPm+98uauJP/fY/V8bdnvcPiqqVhy35Bj3u75K2/3vIpPyuXr878JvY5hrjQ9mM7vPmQ/\n/1nxwE1MLgQ0XePFrqfYEdlMkaWUewq/iEtyDzku1FkLwPFQFd/68PnnfWvRKIld20hs24zSYHSX\nEjxeHFdfif3iNUj+vDFfU8ovwPXhj+G8/kaSe3cT2/Q+qcMHSR0+iOB0Ylu+Cvuq1Uhl5edVpK3U\nb2VJdSHNkQJKOIqqxJDkwQK91nctEhJv9PyFn9X/G3fl30e+pWCEK5qYZAdTwE1MRkDTNZ7repLd\nkW1UOCu5I/fzOCXnkON0XaOncz/RpJMFNdXkuM+P10rXNFIH64hv20xy/x5QFMPbnrcA+0VrDC95\nGG97rAiyBdvyVdiWr0JpayWx5QPiO7YSf/8d4u+/g1RSin3VJdhWXIToPj/C0R9bncsLr1ZR6uog\nHDiAr2jFkGOu8F2NKIi81v0iD7f/gk8X3keBpWiYq5mYZIfzo6QxMTnPSOkpnul8jAOxvZRZK/nK\nnG8QCarDHtsTOIakRznau4Abr80d9pjJRO1oJ75tE4ntW9F6jMlUpMIibKtWY1txEdIEjr0gFxUj\nf+RmnB/6KMn6WhJbN5Gs3UfkhT8Teek5rPMXYVt1Cdb5C8fFeDhbinOtuPyLgK2cOL6LJcMIOMBl\n3nX43C6eanyS37b9b+4q+DxltsrJTayJyQiYAm5icgpxLc4THQ9xPHGYKls1txd8FqfsJMLw9WAH\n6naQB/gKF+PLUrcxLRYjuWcn8a2bUE4Y3b8Eu8NoJX7RauSKGZMaxhYkCduCxdgWLEYLh0js3E58\n6yaS+/eQ3L8Hwe3BtmIV9pWXIJeWTVq6BnLt6hqObPHiUg+RSCSx2azDHreu6GoSUaMq5eH2X3J7\n/meY7Zg7yak1MRmKKeAmJgMIqyEea/8NLalG5jsWc0v+p7AIIzfG6omkEOMHSMoWLr9o6SSmFPRU\nimTdfhI7tpGs298fIp8zD/tFl2BdtATBMrwoTSai24PjirU4rliL0tRoRAd2bCP+zlvE33kLqbgk\nE4KXcv2Tlq58r4U661yswlb+tnMP61avGvHYle7VOEUXT3U+ymMd/80teXeyyLVs0tJqYjIcpoCb\nmKQJKgEeaf81XUonK1yr+bD/44jC6UdSe3XzIZbZeonIC3DaJ14sdU0jdeQQiZ3bSO7dhR43hliR\niooNEVx58aDuX+cbclk57rJbcd34MZIH9pHYsZXkgVqiL79A9OUXkKtmGflYuhzRNbSx4HizYP4K\nOuu20tm6l1BsOR7HyGH9+c7F3FX4ef7Q8VueCjxKVItwseeyCU+jiclImAJuYgI0JI7zh46HiGph\nrvBezXrfDWcMOTd0JOhu3wdlMHPmxHljuq6jNDaQ2LmVxK4d6KFeAMScXOyrL8e2fCVSSdl51dL7\nTAiyjG3xMmyLl6FFoyT37SaxcxupI4dQjh8l8txTWGrmYVtxEbYFixFstglJR27+LNpwMstzjD//\nLcA9V5++H/tMezWfLbqfR9v/i78EnyGoBNiQ8+EzGnomJhOBKeAm0559kV38OfAHNDRuzP04F3ku\nPeM5uq7z2NsBLs05io6EJ3/+uKdLaWshsXsnyV3bUTvaARCcTqNee/kq5KpZCMMMTzzVEJ1O7Bev\nwX7xGtSebpK7dpDYtY1UXS2pulrCFiu2hYuxLluJtWYegmX8+pcLgoSvcCFS+1bq6w7SsMRHRcHp\njYUSazn3Fn+Fx9t/wwehjQSVALfk3YlVnBgjw8RkJEwBN5m26LrOu71v8GbPy1gFG3fkf5Zqx7xR\nnbv9cITW9haKiztx+ecP6Ud8tulRW1tI7NlJcs8u1PZWY4fFgnXZCmzLV2GtmY8gX7ivreTLwXHV\nehxXrUdpbyWxczuJndtI7NpOYtd2BJsd64JFWJcswzp3/rjU8fsKlhBu38r83CM8+vZMvntr6Rmj\nGX45j3uLv8IfOx6mLraPh9p/wZ0F9+KRzNnnTCaPC7ckMDE5DSk9xYtdT7E7sg2flMudBfdSZC0Z\n1bmJlMbjGwMszDsCgCf/7MPnuq6jtjSR2LOL5J6dGU8b2YJ10RKsS5Zjnb8I0W4/69+YqsiFxcjX\n3Yjz2g+hNJwguWcXiT07DUHfuQ3BZsMyfyG2xcuNEeSsZyfmzpwaRNnBkvyjvLYjypaDES6Ze+b6\nd4fo4FOFn+elrqfZGdnCf7X+B7cXfJZSa/lZpcPEZKyYAm4y7ehRgjzZ+Tuakw2UWiu4o+DvxuQ5\nPbspSGevwsVzjyEIEq68BWP6fV3XUZsaSezdSWLPLrTODmOHxYJ18TJsS5ZhmbdwWor2cAiCgKWy\nCktlFc4bb0JpbCC5dyeJ3btI7tpBctcOsFixzl+IbclyrPMXIFhHH84WRAl33mK0ti1U+dp47G0L\ni6scOG1n7qcuCzIf9d+GX87njZ6X+W3bf/IR/20sda08lyybmIwKU8BNphXH40f4U+fviWhhlrku\n4kb/x0/bTexUGjsTvLK9m+r8Xhx04MxdOKrwua6qpI4fTfeD3ovWFTB2WKxYlyw/K+GZjgiCgKWi\nEktFJc4bPora3Gh45ekIRnLPTsMQmjMP68LFWBcsGtXob56CZfS2beGGuQ38YksJT78f5O71oxvP\nXhAErvBdTZG1hKc7H+PPgcdpSTayIefDSEL2BqsxufAxBdxkWqDrOlvC7/Nq8DkAbsi9mYvdl42p\n5bam6zz0eieqBrcsaYIQeApG7vutJxIk6w8Yol23Hz1qzC0q2OxYl64wRPscQr/THUEQkMsqkMsq\ncF7/kf6qiL27SdbuJVm7FwQBecZMrAuXYFu4eMTZ0pw5s5FkFwVCPaW5a3h9Vw+XLXAzq3j0UZAa\nxwI+X/w1nuh4iE2hd2hNNvOJ/LuHHTvfxGQ8MAXc5IInrsV5oeuP7I/uxim6uS3/Hqrss8d8ndd3\n9XKoOc5Fc5y4lVpSgozbPzh8rvX2kKzdR2L/HlKHDxqDq2BM02lbswLrwiVYZleftzN1TVUEQUAu\nLUcuLcd1/YdRO9pJ7N9LsnYPyvFjKMePEn3pWaTCYsMzX7jYGJ0u3YpfECTc+Yvpad3Epy8L88CL\nDn7zagc//NTY6rPzLQV8rvgrPBv4A3Wxffyq9ad8PO+us3reTEzOhCngJhc0LclG/tj5e4JKgApb\nFbfm3Y1PHvtsYc2BBH98N4DbLnLHJXG66ttx5y9FkGwoTQ0k62pJ1u7LzKsNIBWXpsViCXJ5xZTq\npz3VkQoKca69Gufaq9HCIZK1+0ju30vyUB2xt14j9tZrCB4v1vkLsc5biGXOXDyFK+hp3USuvpf1\nS6/hzd29PLc5yJc+NraW5XbRzm35n+Zvobd5o/tlftf+S9b5rudy73qzv7jJuGIKuMkFia7rbAt/\nwCvBZ1FRudy7nnW+68+qTlLTdX729EmSis691xagBl8BwHIwRPCpf0LrNQZWQRSxzJ6T8fAk//k7\nJ/h0QnR7Mv3M9WSS5MG6dIh9H4ktH5DY8gFIEvLMWUjzHYQ69nDrmpvYcyzKi1uCbLioAN8YazlE\nQeRy73oqbTN5qvMR3ux5mROJI9ycd+eQueRNTM4WQdd1PduJGC3ZnlTdnNR+auQ/rIZ4oetP1Mf2\n4xCd3JJ3J3McZz/Qystbg7z15kE2uJtZJZ2gc04D6JDz1ySi04113gKs8xZgqZmH6HSNY07OH6bS\n/R8tuqYZ3dPqaknV7UdpbCA6VyI+V8ZdbyVlXcTjjYXEy2fzf98xA5vl7LzniBrm2cATHIofwCV6\nuCnvk9Scw/M42VyI934sZDv/BQUjG3ymgI+SbN/EbDNV8n8wVstzgSeJaGGqbNXcnHfHWYXMtWiE\n1OFDdO3eT3j/fnJVI+/JEpHwRRbcSgUF1R9DLqu4IEZDOxNT5f6fC1pvL5EDW2hJvoIlAJ73EwCk\nkAjmVzHz0qVY5sxDKioec3WIpmtsCr3DG91/QUVllftSrs35CFbx/G/AOB3u/enIdv5PJ+BmCN3k\ngiCpJfhr9wtsC3+AhMS1OR9htefKUdc56kqK1PFjpA7VkzpUh9LYALqOBbAJNpT5K8hZupCAZQ/0\n1OG/6FYs7uxMg2kyMYheL55LriG4u444J3B94V5Sdcfp3LKHws4jRJ4/kj7Oh2XOXCw187DOmYvo\nOXMduSiIXOpdyyx7DU8HHmNb+G8cix/ilrw7zfnFTc4aU8BNpjzH4od5vuuPBJUAhZZibsn7FMXW\n0tOeY4yA1kzyUJ0h2kePQCpp7BRF5KpZ7BXK+WtPEXNXzeXrd8ympamZyJansbpKsJvifcHiLVxF\nvPc4UVsneR/5GOINt/K9/9jOvNRJbi7uQD9+iMT2LSS2bwFAKinFOmcelpp5WGbNPu3wrsXWUr5Q\n/DXe6P4Lm0Lv8Ju2/+Qy7zqu8m0Y03gEJiZgCrjJFCauxXmt+0W2hz9AQOAyzzrW5lw3YkGodgfT\nHnY9yUP16OH+sJhUVIxljuFRybOqef9Ikv96tYOqciu3rTUao/W2bQVdxVd8yaTkzyQ7eAqW0XH0\neXpaN+GvWM/MEgcfvXYmv33NTaNs5R//4R6kzhaSB41oTerYEWItzcTeeRNkGUvVLCzVNVhmzUGu\nqBwydr1FsHB97k3UOBbwfOCPvNf7BnXRvXw07zYqbTOzlGuTqYgp4CZTkoOxWl7seopetYdCSzE3\n+T85JBSpBrtIHT1M6sghUkcPowU6M/sEjxfbiouMUOicuUi+/nryxs4Ev3ujE6dN5MsfLsYqi+i6\nRk/rZgTRgrfQHCbzQkaS7XjTXcoiwXoovJi1i70caYmzcV+I37/dxeeuLcdZVgHrrkFPJUkdO0rq\nYB3JQ/WkDh80xgAAsFgNQZ9djWX2HKPvuWT0hJhln8OXSr7Fm90vszn8Hr9t+zmXeC5nve96bKI5\njK7JmTEF3GRKEVS6eCX4LPWx/YiIrPVdy+Xeq5EFGbUrkBHr1JFDaMGuzHmC3YFl/iKs1XOw1MxD\nKioZtiFSOKbys+daSSo6991QSGGO4c13t9eRigfwFl00LjOPmZzf+EpW09O6iZ6WD2DuxQDcvT6f\nEx1J3t0forrEzrolRt23YLFirZmHtWYeLkCLhEkdOUzq6CHjeTxUR+pQnXFhixXLzFlYZs/BMmsO\n1opKbvB/jIWupTwXeJLNoXepje7mupyPstC5zBw7wOS0mAJuMiVQdIW/9b7NO72vo+gpZlhn8iHW\n46vvIXb0D4ZgdwczxwsOJ9aFi7HMqsYyaw5SadkZW4urms7PX2qjvUfho5fksmpO/xCYrcc2AuAr\nWTMxGTQ5r7C7y7G5y4l0HSAR7QIsWGWRr3ykiO892sgjb3VQWWBldslQT1l0ubEtMSalAdDCof5I\n0JFDpA7WkTqYFnSrFUvVbPJnV/O5GTez2XuEd2MbeSrwKNvDm/mQ/2YKLEWTmHOTqYTZjWyUZLsr\nQbbJZv4Px+p4ufMZpNYOZrRaWdxZiLspiNbTkzlGcDozYm2ZXY1UXDqm7l26rvP7Nzt5Y3cvy2c5\n+epNxYhp7yeV6ObY1v+JzVlM5fKvT0uvaDo+/z2tm2k79CfK596As/DqzPZ9J6L869Mt5Lgkvndn\nOXmesflBWqiX1NEjpI4cJHXkcP+87wCSBKUlHCuOU1vQTVupzPKiq7jKuwGrmJ2JbqbjvR9ItvNv\ndiMzmXJo0QjBI7s5dvAtLA1t3NqmY1EAFOA4utuDdfEyQ7RnzzH65p5Df+wXtnTzxu5eKvKt3HdD\nUUa8Abqb3wNdI6d0bJOfmExtPAXL6Tj2Eq3H3qEq7wpEyWhdvmiGk9uvzOMP7wT4t2ea+cfbynA7\nRj/Cn+jxYlu6HNvS5cAAQT9+FOX4UZSmRmY2aBjN2RSCOa+yo3Qj+dWrmFFzJXLh2Puhm1yYmAJu\nknV0XUfr7CB1/Kgx5ebxI+jt7QBUATpAcSH2qhrkqllYqmYi+vPGrRB7d38vT73fRZ5H5lu3lOCw\n9RsCmpqgp2UTFpsHT+GKcfk9k6mBKFnJKVlDV8Mb9LZvJ2dA9cn1K310hRVe3dHDz55v5Tu3lGA9\ny5HaThV0PZkgdfI4yrFjJI4fxnv8CLm1cah9jx7eQ3M6sFdVI1fNRK6swlJeiWAzp6GdjpgCbjLp\naKFelIaTpBpOoJw8gdJwAj0WzexPWqC1QqC71EX5nMuYNWcd8gQNUbr7WIT//msHLpvIt24pIdc9\n+JXoaduKpsYpq9mAKJr9dKcbOaWXEWx8m+6md/EVX4Ig9M1eJnDHVXl0R1Q214f55cvt/I8PFyGK\n525UClYb1uq5WKvn4sQY8rWrsZb6ulfgRAPFLTHEvulSjcQgFRUbYl45A7miyohISeZc5Bc6poCb\nTCh6IoHS1EAqLdRKw4lBrcMBxLx8wtWF7M3v4HhRgliBmytyr+VK9xpkYeIe0aOtcf7zhTYkUeAb\nN5dQljd4AA5d1+huehdBkCmZdRXdvROWFJPzFNnqpaDiYtpPfkAkWI/b3z+GuSgIfOG6QnqjCtsP\nR3jkrU7uWZ8/7uFtQRTJq1zEpZWLaEqc5LXuF+nsPExxm87iQBHl7TJqUwtqa4sxMQuA1YpcXoml\nYgZyZRVy5QxEX44Zer/AMAXcZNzQUymU1haUxpPG5+QJ1LYWGNBOUnC5scxfhKViBmJFOYfyunk7\n9R4BpRlZsLDGs4HLvOuwixPbVetoa5yfPN1CStX5ykeKmVM6tDVxuHMPqXgAX/ElWGweYPo25JnO\nlFZfTfvJDwg2vIkrd94gEbTIAl/9aDE/erKZN3b3YpEF7rhy/Kp3TqXMVsmnC7/EIW8dr/lf5M+p\nViRkVjrXcGl0IfbmLiP8fvIEyrEjKEcPZ84VvV7k8hnIZeXI5ZVIZRVIPt+EpNNkcjAF3OSsBZQ4\neQAAIABJREFU0BMJlOYmlOYGlKZGlMYGQ6w1rf8gixV55mzDC6iYYXgBObloaOyJbOed3ucJxgKI\nSKx0r+Yq77V45YkvUA41x/m3Z1qIpzS+cF0hK6uHhud1XSNw8nVAJLd83YSnyeT8xZVTgcs/n0jX\nAWI9R3DmVA/a77RJfPvjJfz4qWZe2d6DourcvW78PfE+BEGgxjGfavtcdke2sbHnNbZEP2A7W1he\ncwmXr/oQuXIuWjyeNqSPG9GvkyfS06ju7b+Wx5sR9L6l6alPHUwBNzkjWjRKpLaBaO1B1KZGlKYG\n1I72QZ41Fku6EKhALq9ArpiBVFg0qB5O0RV2RDbzbs8bdKtdSEiscl/K5d715Mi5k5KX+qYYP32m\nhaSi86UbClk9b/guGuHAPpLRVryFK7E6zHm9pzv+yg1Eug4QOPnaEAEHyHHJ/MMnSvnxUy28vqsX\nVYNPX50/qDfDeCMKIsvdF7PEtTJtEL/OtvDf2BHezDLXRVzhu5rc6hqs1TWZc7TeHpSmBpTGRpSm\nkyhNjaTqaknV1WaOEVzutJhXIJdVkFw0Fx37tJh1b6phCrhJBl3TUDs7UFuaUVqbUVuaUJqb0IJd\nDKy1Fux25JmzDbEuq0AuL0fKLxyx0Uxci7EjvJlNoXfpVbuRkLnYfTmXeded1VSfZ8uBhhg//XML\nqqZz/41FXFzjHvY4w/t+DRDwV1w97DEm0wuHpxJn7lyiwXqiPUdw+mYPOcbrlPnuJ0r58VPNvLWn\nF0XVuXdDwbg0bDsdkiBlhHxfdCfv9LzOjsgmdkW2sNC5jDXeqyi1lgPGTGpWrw/r/EWZ87VwKB1F\nO5lZDhxsJgRGnXpxKXJJGVJJKXJJKVJJGaLDHJUwm5gCPk3RwqG0SDejtKTFurUVlNSg4wSXG0vN\nPLzVs0j6i5DLKowuXKOwxoNKgM2h99gR3kxST2ARrKz2XMmlnrWTEiofyJaDYR58uR1N1/nyh4uH\nDZv3EQ7sJxlpwVOwHKuzcBJTaXI+k1e5gWiwnsCJv+JYfN+wYWaPQ+K7t5byr8+08O7+ENGExn03\nFGI7yy5mY0ESJJa6VrHYuYJ90V282/sGe6M72BvdQZVtNms8VzHHMX/IFLui24N17nysc/sb6GnR\nCEqjUT0mB9uJHDueCccPOjfXnxHzPnGX8gtMb32SMEdiGyXZHo3nbNGTSdSONkOkW1tQWppQWprR\nQ6c0qZZkpOJi5OLStIVdhlxciuDxIAjCqPOv6zqNyRN80LuRA7G96Oh4JC+XeK5gpXs1DtE5QTkd\nOT0vbu3mT+91YbcIfPnDxSyZOXIadE3l+I5/JRXromrltzICPlXv/3gxnfM/MO9N+35DJFhH6cK/\nw+1fMOI5kbjK//9CKwca4swssvH1m4rJcU+uv6TrOkfi9XwQ2siRuDG5il/OZ43nKpa6Vo56ZLe+\n/OtKCrW9DaW5KWP4Ky1Ng2b1A4zqtOISQ9SLipGKSpCKiqds3Xq2n31zJLZpgBaPoba3oba1ora1\norS3ora1oQUDg+uqMaxmy4JFSMX9oTApv+Cc+o0mtDh7ozvZFvqA1lQTAMWWUtZ417LQuXRCu4ON\nhKLqPPR6B+/uD+H3yHzjY8VUFpy+0Opu/YBUrBNfyaWm920yhPyZNxIJ1tN57CVcuXMRhOHfGZdd\n4tu3lGaevx/8oWlUz994IggC1Y55VDvm0ZZs4YPQRvZGdvBS8Gle736Jpa5VrHKvodBaPLrryRbk\n0nLk0vJB27VQb0bM1WbDQVCam1AaTpIYeL7NjlRUbHwKi5GLDXEXfTmmx36WmB74KMm2FdaHFgkb\nAt3WitpuiLXa3obW0z3kWMHtMSzgwqK0WJchFZecVb3VSPlvSTayLbyJvZEdJPUEAiI1jvms9lxJ\nlW121izuUEzlf79oeEBVRTa+MQoPSFViHN/6L+i6QtWq7yJb+y3f8+X+Z4vpnP9T89568I/0tm2h\nsPpWckpWn/bcQREgq8CXPlTE8lkTMyjRaAipvWwN/Y0d4U2ENSNPlbaZrHSvYYFzCRZh6GBFZ3Pv\ndVVF7WjrL6vaWoyyqqN9cE8VMOrXC4sz4i73eey5/vNC2LP97Jse+BRDV1KogU7UjnbUjg7UznZj\nvb0NPRIecryYk4ulZj5SUVFasI2P6JqYgiKmxaiN7mZHeDNNyZMAeKUcLnWvZYXrkkmv3z6V+qYY\nv3ipjWBYZWW1a9R1kF0nX0dVIuTNuH6QeJuYDCR/xnWEOnYSOPEqnoKlp51eVhAEPnJxLoU+C79+\npZ3/9WwrN16Uw8cv9SNLk2/ceiQv63Ou5yrfBupj+9ke/oAj8YOcTBzjleCzLHWtYpnrIoqtpef0\nO4IkGY3eiksZGHPQVdVoKJuJFLagtrYaXnvjycEXkWSk/Hyk/EKkwkJjWVCEVFCA4HJPyXD8eGMK\neJbQNQ2tu8sQ6I72fpHu7DBGKjs1MCIIiP48LDOqDIHuC0UVFCHahw5CMt6oukJ9rJY9kW3URfej\noiAgUGNfwErPGubY5w1pHDPZaLrOS1u7efr9LnTgE5f7ufGinFF15UlEWgg2vYvF7ie37KqJT6zJ\nlEW2+fBXXEPgxMt0Hn+ZoupbznjOJXPdFOVa+PmLbby0tZuDTXHuv7FozDOZjReSILHAuYQFziV0\npTrZHtnEzvBWNoXeYVPoHYosJUaDONcKChg/Y1aQJOSiYuSiwWF7XVXRugIofZ56W2t/mdjWCvtP\nuY7DYYh5foERYcwvRCooNKoCrYNHVLyQMUPoo+Rsw0hasMvwprsCaIFOw/rsbEft7ARVGXKO4PFm\nHkRjWYhUUIDkz0ewTO5Y3Lqu05xsZE9kO/vjuwgrRv7z5UKWulaxxLUC3yT13z4TvVGFX7/Szp7j\nMXLdEvd/qIi55aOrKtB1jYbdPyceOkHZws/h8s8bcky2w2gTja7raIqOltLQUhqqoqXXdVRFw+2w\nEQrHkSwiokVEtAiZdUk2lsIEd5fKFsPde11TOLHj30nGOqhY9j9weCpHda1YQuO3r3ewuT6Myy7y\nhesLsxpSH4iiKxyM1bInsp2DsQNoqAgIzPMuYL5lKfMciyZ9SlNd19HDoXQ0sn2wsxPoBFUdco6Y\nk4uUl4+Yl4/kz0uvFxhL59gb0Wb73T9dCN0U8FEy0k3UolG0rk5DpAcKdaATrTs41JPG6EfdL879\nlqOYX4Boz26/SkO0G6iN7qE2toegEgDALbtZaF/OEtdKSq3l5034Std1NtWHeeTNTsJxjSVVDr5w\nfRFe5+gb5HW3bKL98FO485dQOv+eYY/J9ksMoKmGoA4SWEVDTfULr/G9b1031tPHDtw+WKSNbeeK\nIA0Q9YzQi0iygGjtF/qB+zPHyX3rwpD9giRk9Xkb6d5Hu4/QuPeX2FylVC77KoI4umdO13Xe2tPL\nY28HSKk6ly/wcOdVeWOaknSiiaoR9kV3sTuyLVNNJgsW5tjnscC5lBrHfGzixEf+TkfGQRoo6umP\n1tszfNnrcAwQ9/z+9bz8ERvTZfvdNwX8HNBTKbTuIB49TtfRBtSuTtRAwBDork70WGzY80SvDzEv\nz3hI/HlpC9CwBgW357wRQABN12hKNlAb3U1tdA89ahAAq2CjxjGfxc4VrKlcRVfn8HnNFsGwwsNv\ndLDzSBSrLHDr5X6uXe4b0+hXyViAEzv/HQGBGSu/jcU2fP39mV5iXdfRVX2wOCppwVUGerX93zPi\nO0BI+wV3sPhqioaujfjzY0KQhAGeszBAPA0hzXjXcr+IenMchHrjRpqTgw2FjGGQ6s9P3zZdHYfi\nRWBQGkcS+oHpHWwcCEjWAfsH5Hs0xsHp7n3rwSfobduGv3ID+TOuG1O2TnYk+M2r7RxvT+JzSXx6\nfT6r5gw/uFA20TxRNja8w/7objoVY5pfCZlqx1wWOpdS41gw4XMXjBU9lUIN9jlTgYyDpQU6Ubs6\nQRka/USSkfz+jOcu5uYh5frJm1VOr2DPWr27KeAjoOs6ejxmWHHBIFqwy1jvDqa3dQ3t49iHbEHK\ny0P052eEWfLnG6Kdm3fe18MktQRH44c4GKvlYPwAYdXoF24T7Mx1LGSBcwmzHXMzrVKzbYUORNN0\nNu4L8eS7AaIJjfkVdv5uQyFFOSNXMejaAGHpE9mUQmfDf5NKNOD23oTFsmhYz1VTdCySSDSc7A8z\nD9jXdyzj9SadIliDRDYjUsJgz1UeIGqnerry4O1nE+o+2/uva/oAz3+g+OtDjJa+fYONgv7z1VMM\nnXH5v9P/9an/kSgL6e0iTreVlKb2Hyf3GztICXqD/4Wm9pJX9jns7sp+Q0gWzhhBUDWdv2zr5tkP\ngqRUnYtrXNx5VT7+LNWND0emH7iu05FqY390N7Wx3XSk2gAQkaiyz6LGvoAa50L8cl6WU3x6dE1D\nC/VmIqUZYU9/9Ghk+BMtFqScXMRcP2KuH+mUpej1TUir+Wkr4LqqovX2oPX0GA3G0iKtdnelxTqI\nnogPf7IkI+bkZG6Op6yYuM1thFr8+Ygez3nRxWEsdCtBDsUOcDBWy7HEIRTdsEKdoos5jvkscC5l\ntr1m2D7bEyXgfcKqKacsVb0/3NvnzSo6rZ0Jdh2OEIkq2EWYW2KnyCOdIqxDxVrXhj7mtqLdOEp3\nkAxWET2+FhidsAlSn6D2F/LiQKG0DC3oT3/sYJHOdsh4OM4nAw76Ix4ZQyupoWYMs1MiGoOqFgY8\nT+n6/cxzM/AZGkOVguRuxV39MlrCQ6j+JtCGGpKnGgWZ5yG9PaFBXUuCrqiKJgpUlzmYN8OJ1S4O\nfo5kYZCBMHA5UW0QRrr37alWaqN7qI/upyXV2H+8pcgQc8cCym0zkEboK3++osViRrVoWiNsiTDh\nptb0966RBV4Ujfr3XD9iWuilnFxEXw5iTo4Rorc7xvxuX5ACricTaD09qD1BQ6B7ugd8elB7ug3v\neYTsCXY7Yk6fBZWLmJNepi0qwT1YoM+3Amw0xLQox+NHOBo/yNH4IQJKR2ZfoaWEGscC5joWUGat\nzLQgHxQKHiCcPo+DQEf4FLEdRngHLPVRHDucsJ4TAoM81b7CbaAnKlpEkE+iSM8g4MLluBfJ6jrl\n2H6PVpRFCos9BHuiE1pQns9Mxef/XMg06lM0cr1OOtpCA6pCBleDaCmdWOxNUupmRL0GUbkRPaUP\nMgoGVZ8M2D6eCKLQL+aygCgNeOYlYVjRH2IEyKccaxHJy3fTE4qd1mDoVXo4GK/lYKyWo/FDKLox\nJLNVsFFln80sew2z7HMokIvOO+P0TJz67OuJRMYJVLu60s6hIfZaMIDW2zvyxaxWJJ8h5oawGwKf\n2ZaTg+B0DfqPLhgBP/w/f2wIdG/3iHXPAMgWRJ+v/4/x+hBzB1hEuX5Ex9haI2ajAMuIqWq8+LrS\nv66paYHsE1tVQ0kpdCUCdMbbCcaDRFNhRFVCUmUsqhUPPly6B6fuRlQl43rDiOtEMLTASBcyZyhU\nYorOvsY4dc1xkrpAod/K2mVeygrtg+oy+8RaEM/svabiXZzY+TN0NUH5kvtxeGecMf3TTcBOZTrn\nfzR51zWVxn0PEus5Sn7Vh/BXrD/jdQdHEfqNglhU5W/7e9l1OIyoQbFHYlmVkxKfnDGK1dTg91Yf\nyZBOlxfjVr0zAEFk8LucNhgEGRJinIgQIkQvcTGCKqmooopskfBZc/Db88m3F+C0uYY3LiRhgDEh\nIPRdO0t10GN59nUlhdbdbYh6n1PZ3Y06wMkcbjyPDLKcEXjJl8Osr3555EPHkpFskzp4AMHhMDJX\nUWWEJbw+pJwcRG+/VSM4neN2o/teslRMIRlJnV5EFS3tvfZv09X0y6SOsP8UEdbTS+Pcs3vr7Pgp\nwT/i/hjJQda6KAtYnNIgcTVeRCNkJ8gibq+NeFIZVohHFuD0dc4iJNzZm+LFLd1s3BdC1aAox8HH\nL83lkrnn1pBEU+I01z6MpkQprL51VOJtYnImBFGiZN7dnNz5MzqPv4zVVXzasdLBGOSlz4gdiAv4\naJWb1d0pnnq/i3frw7yzJ0pVoZWb1/hZNmts5Zuu6+mqqjNFyQYY9Gr/NptFJhJKnNFgUJLKIIPB\nhgfbCH3IVaCNbmDoCJKn/c9EIVOmiAOiBUJa6EWpz5gQBpU/GeNioLEgDXPeqUaDJKAkVHRNH3Xk\nTZAtRjfg/IKR70kqmYkcDxR2rbs7s005ephhmtoN/q2p5IE3HGhBFy1przQtoGkPtU8IM98H7leG\n29YvrPrAB1bVx0VER4sgCv0PUfrhGRT+GvBAKlKKCGFC9NBDkBA9aGnLVpNUXFY3BfZCiu2lFDmK\nsVntI4bOxhoGniwP7Hhbgld3drOpLpwWbgsfW53L6nlupHMMXeuaQtP+/ybafQhf8WoKqz8+6oJw\nOnugML3zP5a8x0InadzzSwDKF983LgZiUyDJc5uCbK4PowMV+VauW+Fj9Tw3Vnni2+GM2QM9JXI4\nUOTVlEpXIkBrtJn2eCvBeABdJR0plLBrTrxCLt50tNCuO0DltOWzNqDsn1D6GjxKpxoCA6IFfevy\nMEbDKYZBppyX+jVAGPBdQINYiIqlQ6euzSRpKgn4S//Ppgm57iARzYSB+v9cURaxOy2kVHVYq+5U\nC3BgyGfQ+iBrMX2jRhCliBqmJdlIc7KR5mQDTckGQmpPZr8syJRZZ1Bpq6LSNpNyWxWOCezKMZEF\nuKbp7DgS4dUdPdQ3GY0KS/wWPnrx+Ag3GIO1tNY/TqhjFy7/QkoX3DPiRBTDMZ0FDKZ3/sea93Cg\nlubahxFlOxVL7sfmGt1kIWeisTPJ85uDbDkYRtPB65RYv8TL+qVeclwTF0yd0Hdf12hLtXAycYyG\nxDFOJo7RO6ics1BiKaPUWkGprZxSawV5csGwoz4Oar+jDlfl2C/8p+4/XeTUIonEo6nTnzdBVY8A\nN/6/I4+3P6UEfPPjdWnhFAYsB1oz/d8HHTPQapKGhktG441O5EMcVSO0ppppTjYYgp1ooFvtGnSM\nW/RQbptBpW0mlbaZFFvLJnWGr4nIf1swxTv7e3mvNkQwbIyotKTKwbUrclg0wzGm/tynQ9dUWg/+\ngVDHLuzeKsoXfQFRGls3v+ksYDC98382ee9p3UzboT8hWVyUL/4iNte5jS0+kEBI4fVdPby9p5dI\nQkMSYdksF1cu8rCkyjkuBu9AJvvedyvBAYJ+nPZUKzr9Df6sgo0SazmlVkPQS6zl+OW8CRvKeVRt\nIHQdXWOQ8GfWR4ocqIO3DxstVnTWfHrkqpgpJeDZHg3nXH9f0RU6U+20pZppS7bQlmqhPdVCSB3c\natEpugyL01qReUizPUHIeL3EkbjK9sMR3qsNUddoeNtOm8jqeW42LPNRlje+/ec1LUVr3eOEA3ux\ne6soW/g5JHnsI0hNZwGD6Z3/s817d8sHtB9+GlF2Ur7oc9hHOdzqaEmkNN6rDfHWnl5OdiQByHFJ\nXLbAw5p5biryrePSFijb9z6lpQY4OIaTY/RB75cuWbBQaCmmyFJCoaWEImsJRZYSXNK5D4yT7fxf\nMK3Qs/0njvb3E1qCgNJBINVOZ6qDTqWd9lQrgVQ7GoO7jnilHIrSD1yfYPuk3POuq8W5PMSRuMqO\nIxG2HIyw70QUNf0XLKhwcOUiD6uqXVhHMVvYWFGSIZprHyYeOoHDN5uyhX+HKJ3dWM7ZfomzzXTO\n/7nkvad1C22H/oQgyhTPvQNP/pJxTp3B8fYE7+zr5YMDYSIJ4wUryrFwyVwXF9ecm5ifj/c+oSVo\nTTbRlGygNdlEe6qFjlQbKoPHRneLHgqtJRTIReRZCsi3FJAvF+GRvFOm/Ysp4OPAqTdR0zV61G5D\npE8R64F11X1YBZthIVpLKbIUU2QppdBajEMc++D62WAsD7Gu67QEU+w+GmXX0QgHm+MZ0a4qtHJx\njZtL5rop8E3c5Czx0EmaDzyCkgjiKVhOUc1tiOLZ/162X+JsM53zf655Dwf201L3GLqWxF+5gbzK\nDQgTFO5NKhq7j0bZfDDMrqNRkum62QKfzNKZTpbNdDGvwj6mxm9T5d6rukpA6aAtaUQ2+6KcfUND\nD8Qq2MiTCzKinicXkm8pJE/OHzJhS7bzbwr4WaDrOjEtSlDpolvtImUL09DTQrcSIKh00aMEh1h7\nAF7Jl34QCgc8GAV4pZysT7d5LpzpIe4KKdQ1xqhrjFF7MkZ7T38HiFlFNlbOcXHxHGNKxYlE1zWC\nTRvpPP4y6Bp5M67DX3HNOUc0sv0SZ5vpnP/xyHsi3ExT7W9REt04vLMonncnFlvOOKVwhN9Maew+\nFmXLwTB7j8eIJQ0r2ioLzK9wMK/czrxyB1VFttPWm0/1ex/X4qc4WsZ6l9KRGY1yIC7RQ67sJ0f2\nkyvnUZlbihRzkiv78Uo5kz6ynCngw6DoCr1qD71KNyG1J73eQ48aNERb6SKhDz/MqlN0kSvnkSv7\nTxHrgkmfbm+yGPgS67pOR4/CoeY4dY0xDjQMFmyHVWTRDAfLZjlZUuXEN4EtZAeSiLTQdvhp4r3H\nkSweiufegSu3ZlyuPdULsXNlOud/vPKupqK0Hfoj4cA+RMlOftUN+ErWTJg3PhBF1TnUHGfX0Qi7\nj0Vp7kpl9tktAjVlduaWO5hX7mBGgXVQldaFeu/7oqidqfYBAt9Bt2o4aKdWdwIIiPiknIzAeyUf\nXjnHWEo5eGUfdmHsw6Wejmkl4IquEFFDhNUQYS2cWe9Ve+hVu+lVDLGOaiOPhGMRrOSmra8c2U+u\n5GdGXhlixEmO7Md2gYr0cOi6TiCk0BUT2X2om2NtCY61JjL1bGA0QptbZljz8yqMAkCcxOFG1VSE\nwMnX6W55H3QNd/4SCmffjGwd+cEfKxdqITZapnP+xzPvuq7T27aFjqMvoKlxbO4KCmbeiDOnelyu\nP1q6w30RszgHGmO0DBB0UYDyfCszi2zMLLKxfJ4ft6Rgkc+vdjkTiaqrhNQegkoXqiPKyWAzQSVA\nt9JFUO3KTP40HBbBmhZ0Q9w9kg+P5MElenBLxsclebAL9lEJ/QUj4Nsb9xBTo0S0MBE1nBZpQ6Aj\n6fW4dvopL2XBgk/KGWo5DfjuFF1D/tjpUID1RlWaA0kaA0maAsnMeig22BIt9MnMLLYzu9jGvAoH\nlfmTK9h9KMkQ3c3v0d38HpqawGL3UzD7Y2ccAetsmA73/3RM5/xPRN6VZC8dR18g1LETAGdODf6K\n9Th8s7PSgLU7olDfGOdgU5xjbXFOtCdJDRgYRRKh1G+lLK/vY6Esz0phjmXcu62dbwx3/1NaynAI\nBzmG3ZlIbq/aTeQ0TiIYU7L2C7obt9gv7m7Jg1N04RRdLCobOYo4pQT8/9r+hRH3OUWXkXHRPehP\ncIvGuiHQZx/euBAKMF3XCcVU2roV2rtTtPek0kuF1uBQoRYwGr/MKLSxaJaXAjfMLLLhsmdvdiFd\n14n3HqenbTOh9l3ouoJkceGv2EBOyWoEcWLC9RfC/T8XpnP+JzLv8dBJOo79hVjPYQBs7nJ8xavx\nFCw7q+6O44Wq6TQFkhxrS9Dao3HgeJjGQDLTKK4PWYLiHCuFOTKFORYKfelPjky+14IsTX1xP9v7\nr+gKIbWHHsUQ87DaS1gND4gQh9KOaO+w7an6+PnKX4+4b0qNhX6Zd13GKslYLqJhvUy1KevGG1XT\n6Y2qBMMKwbBKV0ghGFboCqeXIWPfqS8gGCGzfK9MdYmd0jwr5Wkru8RvwZauC8tmAa5rCtGeo0S6\nDhDpqiUVDwBgseeTW3Yl3qJVYx6YxcTkfMDuqaRiyX3Eeo8TbNxIOLCP9sNP0XH0OZy5Nbj9C3D5\n5yNbvZOaLkkUqCywUVlgy7z7mq4T6FVoSkfomgIpmgJJWoJGpO5UBAFynBK5bplcj0yuW8Lvlsl1\ny/jT33NcMjbL+Td97nggC3K6rdTp50fXdZ24Hu8XdjVERAsRVaNEtRGmLu37jfFM8KmJ+sEPfkB9\nfT1Wq5Uf/ehHVFRUZPb/8Y9/5Mknn8RisXDfffexdu3aM15zQ86HJyq55w26rpNUdKIJjVhSI5bQ\nCMXU9Ce9HlUJxdPL9LZo4vRTE3qdEiV+C/leC4W+AdZyjoU8j3xeWcqaEicebiQebiDee4Jo9yE0\nNQGAKNnwFCzHV3xxOtw4dVv2m5j04fBW4VhQRSrRTW/bNkLtO4gE9hMJ7AcMz9zpm43dU4HdU4Fs\n80+66ImCQIHPQoHPwrJZrsx2XdcJxzXau1O0pSN7HT1GlC8YVjjZmeBoW2LE61okAa9TwuOU8DpE\nPA5j3eOQ8DoknHYRl03EaZNw2ESc6c+FEroXBAGH4MAhOsi3FI7p3AkT8Ndff51kMskTTzzB7t27\neeCBB/jFL34BQGdnJ4888gh//vOficfj3HHHHVx22WVYLBPbxWi80DQdRdVJqTqqZghuUtFJpnQS\nimYsUxpJRSeR0kkq/euZ7UmNaFqgY0nNEOz0+minyBYF8DgMq3ZGgYgnbe360xav3522ft3nl0AD\naGoSJRlCSXSTineSjHWSinWSjLWTjLYzcJQliz0Pb9HFuPzzcfpmTViY3MQk21hsOeRVXkNe5TUk\nY51EumqJdB0g2nOERLgxc5wku7C5S7HY87E48rA68rHY85CtXkTZMamGrSAIhug6JGaXDA379wn8\nwKhgX0SwJ6LQG9MIpdvfHB/DmOJ2izBA0CUcVhGbRcBm6V9aZWHItv6lsV+WBCzS4KUsMSWiAhNW\nEm7fvp0rrrgCgKVLl7Jv377Mvj179rBy5UpkWcbtdlNVVUV9fT2LFi067TU37mpA0wwBVXXjwdB0\njG26jqYZ24x9WvpYjGN0PfPR+7alr6OmhVjRdFRFR+nbpmoomtEFQ9ONpaLqw06tK4xpwt3+YwXA\nZhHxWEUKnQI2q4jdImC3itgtInargNMq4rKLuBwSLlt63SbisIpDHjIdFWOyvn6LV41BGr5yAAAH\nl0lEQVTrp6lhOX36+ohYe4mHQ+iagq6roKnourGua2p6qWSWmppAU2LGUo2jKnFjmYqgJkNo6vBd\n9ETJhsM3E7u7ArunMu1tnH8j05mYTDRWRz7WsivJLbsSTU0QD6WjUqEGEuEGot2HgENDTxQkZIsb\nyepBkh2Ikg1RtiNK6Y9sRxStCKKEIMoIwqlLGUGUABEEgYjFRSISAwQQBASEzDr0hb8H7BvmXXVI\nUJZjfIxST6ZffvqPT6a0TLQxHFeJxNUBjo6ecXJiA52fuEZP70iOz9jKjYGXkEUMUbeISALIYp+4\npz+igCiCKApI6XVJSG8T+r9n9okCggiSYDhf0oDzM98F47uA8TcKCNy6YeRW6BMm4OFwGI+n/4dl\nWUbTNERRHLLP6XQSCp25frUk9B+j+/H088SFEl1NpT/pvyiS/kwmJ8blKgKSxYVsz0W2eJCtHmRb\nDhZ7HlZHARZHHpLFY4q1ickpiJINZ85snDn9U0tqaoJUvCsTvUrFu1BTISOylewlGW1D11Knuero\nOHnOVzg7nOlPBmm4jVMYLf05Iw+OuGfCBNztdhOJ9MtMn3j37QuH+5vYRyIRvN4zN9K47JaRM2Ji\nMtGcrj/mdGA65//8zLsHyAfGZ7Aik6nHhPmoK1asYOPGjQDs2rWLmpr+h2zJkiVs376dZDJJKBTi\n6NGjzJkzZ6KSYmJiYmJicsExYf3AB7ZCB3jggQfYuHEjM2bMYN26dfzpT3/iySefRNd1vvSlL3HN\nNddMRDJMTExMTEwuSKbUQC4mJiYmJiYmBhdKMy8TExMTE5NphSngJiYmJiYmUxBTwE1MTExMTKYg\npoCPEk3T+NGPfsSdd97JrbfemmlhP904cuQIq1atIpkcOvbxhUw4HOa+++7j7rvv5vbbb2fXrl3Z\nTtKEo+s63//+97n99tu55557aGhoyHaSJhVFUfjOd77Dpz71KW677TbefPPNbCcpKwQCAdauXcux\nY8eynZRJ59e//jW33347H//4x3n66aeznZwhmGNSjpLnnnsOVVV5/PHHaWtr49VXX812kiadcDjM\nT37yE2y26TMfeh8PPfQQl156Kffccw/Hjh3jm9/8Js8880y2kzWhnG445OnA888/T25uLj/5yU/o\n7u7m5ptvZv369dlO1qSiKArf//73sduzNzNattiyZQs7d+7kiSeeIBqN8tvf/jbbSRqCKeCj5L33\n3qOmpoYvfvGLAPzTP/1TllM0+Xzve9/jG9/4Bvfff3+2kzLpfPazn8VqNWY8UxRlWhgxpxsOeTpw\nww03cP311wNGNEKWp19x+eMf/5g77riDBx+cfoNo9ZX5999/P5FIhO985zvZTtIQpt8TOQqeeuop\nfve73w3a5vf7sdlsPPjgg2zdupV/+Id/4NFHH81SCieW4fJfWlrKjTfeyNy5c7nQex4Ol/8HHniA\nRYsW0dHRwXe+8x3+8R//MUupmzxONxzydMDhcADG//DVr36Vr3/961lO0eTyzDPPkJeXx2WXXcav\nfvWrbCdn0gkGgzQ3N/Pggw/S0NDAl770JV555ZVsJ2sQZj/wUfKNb3yDG264gQ0bNgBw+eWX8957\n72U5VZPHddddR1FREbqus3v3bpYuXcojjzyS7WRNKvX19XzrW9/i7//+77n88suznZwJ51/+5V9Y\ntmxZxgtdu3Ytb7/9dnYTNcm0tLTw5S9/mbvuuoubb74528mZVO66667MvAR1dXXMnDmTX/7yl+Tl\nnX5+6wuFn/70p+Tl5fGZz3wGgJtuuomHHnoIv9+f3YQNwPTAR8nKlSvZuHEjGzZsoK6ujtLS0mwn\naVIZWOe/fv3687I+aCI5fPgwX/va1/jZz37G3Llzs52cSWHFihW89dZbXH/99UOGQ54OdHZ2cu+9\n9/K9732P1atXZzs5k87ACOPdd9/NP//zP08b8QajzH/kkUf4zGc+Q1tbG/F4nNzc3GwnaxCmgI+S\nT3ziE/zgBz/gk5/8JAA//OEPs5yi7CEIwgUfRj+Vf//3fyeZTPKjH/0IXdfxer38/Oc/z3ayJpQN\nGzbw/vvvc/vttwNGNcJ04sEHH6S3t5df/OIX/PznP0cQBH7zm99k2kJMJ6bjDIFr165l27Zt3Hrr\nrZkeGefb/2CG0E1MTExMTKYg06M1iomJiYmJyQWGKeAmJiYmJiZTEFPATUxMTExMpiCmgJuYmJiY\nmExBTAE3MTExMTGZgpgCbmJiYmJiMgUxBdzExMTExGQKYgq4iYmJiYnJFMQUcBMTk2F55JFHuPvu\nuwHYtm0b1113HbFYLMupMjEx6cMcic3ExGREPv3pT3PdddfxyCOP8MADD7Bs2bJsJ8nExCSNKeAm\nJiYj0tjYyEc+8hHuvPNOvv3tb2c7OSYmJgMwQ+gmJiYj0tTUhMvlora2NttJMTExOQVTwE1MTIYl\nEonwve99j1/96lfYbDYef/zxbCfJxMRkAGYI3cTEZFh++MMfYrPZ+O53v0vz/2nHDkoAAGIYCNZH\nfdVjjVXHyTgCMwryW8hdzUztbnX372lACTgARHKhA0AgAQeAQAIOAIEEHAACCTgABBJwAAgk4AAQ\nSMABINAD+gCqW/SZdIgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f246e2169b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "x_values = np.linspace(-10, 10, 300)\n",
    "for df in [1, 2, 5, 15]:\n",
    "    distri = stats.laplace(scale=df)\n",
    "    x_pdf = distri.pdf(x_values)\n",
    "    plt.plot(x_values, x_pdf, label='$b$ = {}'.format(df))\n",
    "\n",
    "x_pdf = stats.norm.pdf(x_values)\n",
    "plt.plot(x_values, x_pdf, label='Gaussian')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('p(x)', rotation=0)\n",
    "plt.legend(loc=0, fontsize=14)\n",
    "plt.xlim(-7, 7);\n",
    "plt.savefig('B04958_06_03.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x_1 = np.array([ 10.,   8.,  13.,   9.,  11.,  14.,   6.,   4.,  12.,   7.,   5.])\n",
    "y_1 = np.array([  8.04,   6.95,   7.58,   8.81,   8.33,   9.96,   7.24,   4.26,\n",
    "        10.84,   4.82,   5.68])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(1)\n",
    "real_alpha = 4.25\n",
    "real_beta = [8.7, -1.2]\n",
    "data_size = 20\n",
    "noise = np.random.normal(0, 2, size=data_size)\n",
    "x_1 = np.linspace(0, 5, data_size)\n",
    "y_1 = real_alpha + real_beta[0] * x_1 + real_beta[1] * x_1**2 + noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8phtAIgwa8BMmTNCSJUv08ccfa/fu3XrooYc0Z86c4agNAADEaNCA93q9WrNmzXDUAgAA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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f246cff50b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "order = 2#5\n",
    "x_1p = np.vstack([x_1**i for i in range(1, order+1)])\n",
    "x_1s = (x_1p - x_1p.mean(axis=1, keepdims=True))/x_1p.std(axis=1, keepdims=True)\n",
    "y_1s = (y_1 - y_1.mean())/y_1.std()\n",
    "plt.scatter(x_1s[0], y_1s)\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$y$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_06_04.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n",
      "WARNING:theano.tensor.blas:We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n",
      "100%|██████████| 2100/2100 [00:02<00:00, 975.32it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_l:\n",
    "    alpha = pm.Normal('alpha', mu=0, sd=10)\n",
    "    beta = pm.Normal('beta', mu=0, sd=1)\n",
    "    epsilon = pm.HalfCauchy('epsilon', 5)\n",
    "\n",
    "    mu = alpha + beta * x_1s[0]\n",
    "    \n",
    "    y_l = pm.Normal('y_l', mu=mu, sd=epsilon, observed=y_1s)\n",
    "    \n",
    "    trace_l = pm.sample(2100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fJpG0pmrGjBm46aabMHv2bFAUhffffz8ik58YTz31FKxWK9asWYMnn3wSFEXh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FS0sLrFYr7r33Xtx222244YYbcOWVV2LkyJGlCyqwgKwqkmMytLZ6URBWI4VRgzV53rMU2eFQ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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2442a3c4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_l = trace_l[100:]\n",
    "pm.traceplot(chain_l);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>alpha</th>\n",
       "      <td>-0.003331</td>\n",
       "      <td>0.160514</td>\n",
       "      <td>0.003343</td>\n",
       "      <td>-0.341683</td>\n",
       "      <td>0.302035</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beta</th>\n",
       "      <td>0.775680</td>\n",
       "      <td>0.150233</td>\n",
       "      <td>0.004497</td>\n",
       "      <td>0.481617</td>\n",
       "      <td>1.069817</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>epsilon</th>\n",
       "      <td>0.691546</td>\n",
       "      <td>0.128800</td>\n",
       "      <td>0.004260</td>\n",
       "      <td>0.448888</td>\n",
       "      <td>0.947141</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             mean        sd  mc_error   hpd_2.5  hpd_97.5\n",
       "alpha   -0.003331  0.160514  0.003343 -0.341683  0.302035\n",
       "beta     0.775680  0.150233  0.004497  0.481617  1.069817\n",
       "epsilon  0.691546  0.128800  0.004260  0.448888  0.947141"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(chain_l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2100/2100 [00:03<00:00, 612.46it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_p:\n",
    "    alpha = pm.Normal('alpha', mu=0, sd=10)\n",
    "    beta = pm.Normal('beta', mu=0, sd=1, shape=x_1s.shape[0])  \n",
    "    epsilon = pm.HalfCauchy('epsilon', 5)\n",
    "\n",
    "    mu = alpha + pm.math.dot(beta, x_1s)\n",
    "    \n",
    "    y_l = pm.Normal('y_l', mu=mu, sd=epsilon, observed=y_1s)\n",
    "    \n",
    "    trace_p = pm.sample(2100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2b2C84M8BoKnZDrtLACdy8DhZmC2hK8I/nQT0alng+Pp6BidqXLA4eBw97YFc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NEERgAnmiQqFQKGA0NtUBchtUAJCeno7bbrvNs/Z38ODBOHPmDC+jKisjFfprXpv0DCnSUkVQ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\nCoVCoWTB/wcYff3IMB/v4QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f243f9598d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_p = trace_p[100:]\n",
    "pm.traceplot(chain_p);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>alpha</th>\n",
       "      <td>0.003864</td>\n",
       "      <td>0.124936</td>\n",
       "      <td>0.002284</td>\n",
       "      <td>-0.234548</td>\n",
       "      <td>0.237907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beta__0</th>\n",
       "      <td>1.814338</td>\n",
       "      <td>0.398737</td>\n",
       "      <td>0.021912</td>\n",
       "      <td>1.017371</td>\n",
       "      <td>2.533085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beta__1</th>\n",
       "      <td>-1.079318</td>\n",
       "      <td>0.399691</td>\n",
       "      <td>0.021948</td>\n",
       "      <td>-1.819323</td>\n",
       "      <td>-0.274780</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>epsilon</th>\n",
       "      <td>0.535256</td>\n",
       "      <td>0.104879</td>\n",
       "      <td>0.003976</td>\n",
       "      <td>0.351361</td>\n",
       "      <td>0.736229</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             mean        sd  mc_error   hpd_2.5  hpd_97.5\n",
       "alpha    0.003864  0.124936  0.002284 -0.234548  0.237907\n",
       "beta__0  1.814338  0.398737  0.021912  1.017371  2.533085\n",
       "beta__1 -1.079318  0.399691  0.021948 -1.819323 -0.274780\n",
       "epsilon  0.535256  0.104879  0.003976  0.351361  0.736229"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(chain_p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UEWl1+/17+aDuXXb7PwOgvbUj1+WNpW/2QNoX5yftTmhHagOsKHOztrmcpsCR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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f24361f1198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha_l_post = chain_l['alpha'].mean()\n",
    "betas_l_post = chain_l['beta'].mean(axis=0)\n",
    "idx = np.argsort(x_1s[0])\n",
    "y_l_post = alpha_l_post + betas_l_post * x_1s[0]\n",
    "\n",
    "plt.plot(x_1s[0][idx], y_l_post[idx], label='Linear')\n",
    "\n",
    "\n",
    "alpha_p_post = chain_p['alpha'].mean()\n",
    "betas_p_post = chain_p['beta'].mean(axis=0)\n",
    "y_p_post = alpha_p_post + np.dot(betas_p_post, x_1s)\n",
    "\n",
    "plt.plot(x_1s[0][idx], y_p_post[idx], label='Pol order {}'.format(order))\n",
    "\n",
    "plt.scatter(x_1s[0], y_1s)\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$y$', fontsize=16, rotation=0);\n",
    "plt.legend()\n",
    "plt.savefig('B04958_06_05.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Information criteria"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "57.400618388961888"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dic_l = pm.dic(trace=trace_l, model=model_l)\n",
    "dic_l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "54.081098137239678"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dic_p = pm.dic(trace=trace_p, model=model_p)\n",
    "dic_p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(42.944262464359909, 4.1064164750276486)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "waic_l = pm.waic(trace=trace_l, model=model_l)\n",
    "waic_l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(32.809701279623269, 4.430686673627112)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "waic_p = pm.waic(trace=trace_p, model=model_p)\n",
    "waic_p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/pymc3/stats.py:192: UserWarning: Estimated shape parameter of Pareto distribution\n",
      "        is for one or more samples is greater than 0.5. This may indicate\n",
      "        that the variance of the Pareto smoothed importance sampling estimate\n",
      "        is very large.\n",
      "  is very large.\"\"\")\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(38.456980606877266, 3.3622290516518194)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loo_l = pm.loo(trace=trace_l, model=model_l)\n",
    "loo_l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/pymc3/stats.py:192: UserWarning: Estimated shape parameter of Pareto distribution\n",
      "        is for one or more samples is greater than 0.5. This may indicate\n",
      "        that the variance of the Pareto smoothed importance sampling estimate\n",
      "        is very large.\n",
      "  is very large.\"\"\")\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(27.738717876566785, 3.5610811003793139)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loo_p = pm.loo(trace=trace_p, model=model_p)\n",
    "loo_p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jSizUnDp1Sr/4xS+UlJSkrl27Kjo6Wl9++aVcLpcWLFig0NBQzZ07V3v27FF+fr6GDh2q\nJ598UikpKZo/f76MMbp8+bLmzJmj4OBgjRgxQvfdd5/atWunYcOGldRpAB67jmZpwQfpnu2TGdme\nbYJNyWONAW7v4KX9Sj673LOdnvOtZ9umYFNioaawixcvKi4uTpMmTdL48eO1fft2hYaG6tSpU1q5\ncqWys7PVp08ftWnTRv/+9781e/ZshYeHa+HChfrwww8VGxurs2fPat26dQoKCvLHKSAAvPjON3d0\nnNvtUn6+cfz1z13M9bp/4Yfpem9HZpFqOtHr3GdrF+v5NmCNgT/NS51xx8cGnXErLy/fJ30Urp2V\nd8HrMWvPrtKm838vdn0nja0xqcjP9UuokaSGDRtKkqpVq6bs7Gx99dVXOnz4sAYPHixjjPLy8pSa\nmqqIiAhNnz5dFSpUUFpamlq0aCFJqlmz5h0vNuHhpedvzfR659xul0+OvVO3ey/n5Rfv9Yrbq7/n\nJVDYtMZQv3TVDzpzd/fgBAX57p6dgtr5eXleH89XXrFe3xe9F2c+/RZqblavXj09+uijmjZtmowx\nWrBggWrWrKkhQ4Zo8+bNKl++vCZMmOA53uW684X/u++yfNGy48LDK9LrXZj9zIN3dJyvep347kmd\nzMi+ZX+tyiFKGFyrSDWd6LWk5qW0hafSusb4+r1Gfefrv1D1VZ/WL0rtBd/OVnrOt7ccE3FPNY2s\nOr7Y9Z1UULMoa0yJ3dJdeIHw9ucOHTqofPnyGjBggHr16iWXy6UKFSqoe/fu6t+/v/r376/Lly8r\nPT39lhqAP8RFV7qr/fAt1hjg9mLu7eR1/+O32V9auYwxzn/ZIMD4+4rCnQqEqx93il6vK7j76XRm\ntqrfX/y7n0rbuOK6QLtSQH3qe6t98NJ+7Sh099Pjxbz7qSTG5m4FzMdPQGn008iK3OkEoFR4pEJz\nq+508oZ/URgAAFiBUAMAAKxAqAEAAFYg1AAAACsQagAAgBUINQAAwAqEGgAAYAVCDQAAsAKhBgAA\nWIFQAwAArECoAQAAViDUAAAAKxBqAACAFQg1AADACoQaAABgBUINAACwAqEGAABYgVADAACsQKgB\nAABWINQAAAArEGoAAIAVCDUAAMAKhBoAAGAFQg0AALACoQYAAFiBUAMAAKxAqAEAAFYg1AAAACsQ\nagAAgBUINQAAwAqEGgAAYAVCDQAAsAKhBgAAWIFQAwAArECoAQAAViDUAAAAKxBqAACAFQg1AADA\nCoQaAABgBUINAACwAqEGAABYgVADAACsQKgBAABWINQAAAArEGoAAIAVCDUAAMAKhBoAAGAFQg0A\nALACoQYAAFiBUAMAAKxAqAEAAFYg1AAAACsQagAAgBUINQAAwAqEGgAAYAVCDQAAsAKhBgAAWIFQ\nAwAArECoAQAAViDUAAAAKxBqAACAFQg1AADACoQaAABgBUINAACwAqEGAABYgVADAACsQKgBAABW\nINQAAAArEGoAAIAVCDUAAMAKhBoAAGAFQg0AALACoQYAAFjBZYwx/m4CAACguLhSAwAArECoAQAA\nViDUAAAAKxBqAACAFQg1AADACoQaAABghWB/N+Ck3Nxcvfrqq0pNTVVOTo5GjBihqlWrasSIEapT\np44kqV+/fnrqqaf826ik/Px8TZo0Sf/5z3/kdrs1depUhYSEaMKECXK73Xr44Yc1ZcoUf7cpyXuv\n2dnZATmuknT27Fn16tVLS5YsUVBQUECOaYHCvV65ciVgx1SSevTooYoVK0qSatasqb59+yohIUHB\nwcF67LHHNGrUKD936Hve1piOHTtKktavX68VK1YoKSnJ0frNmjXTpEmTlJWVpby8PCUmJqpWrVqO\n1a9evbqmTJmi4OBg1alTRwkJCUXu39frmrf6OTk5mjFjhoKCghQSEqJZs2bp/vvvd6x+/fr1JRV/\nfr3Vvv/++x2bW2/1c3NzHZvbAr5eXwvXv3r16t3PrbFIcnKymTlzpjHGmHPnzpn27dubv/zlL2bJ\nkiX+bcyLjz/+2Lz66qvGGGN2795tRo4caUaMGGFSUlKMMcZMnjzZfPzxx/5s0cNbr++9915AjmtO\nTo55/vnnzZNPPmmOHz8esGNqzK29BuqYGmPMtWvXTI8ePW7Y161bN3Py5EljjDHPPfecOXLkiD9a\nK1He1hhjjDly5Ij55S9/afr27et4/QkTJpiNGzcaY4zZtWuX2bZtmyP1z58/b9q3b29GjRplPvnk\nE2OMMePGjTNbt24tcn1fr2ve6g8cONAcPXrUGGNMUlKS+d3vfudofWOcmV9vtZ2cW2/1R40aZbZv\n326MKf7cGuP79bVw/a+//rpIc2vVx09PPfWURo8eLUkyxig4OFiHDx/W1q1bNXDgQE2cOFGXL1/2\nc5fXPfHEE5o+fbok6fTp0woLC9ORI0fUsmVLSVLbtm21c+dOf7boUbjX1NRUhYWFBey4JiYmql+/\nfqpSpYqMMQE7ptKNvUrS4cOHtW3btoAbU0k6evSoLl++rGHDhmnIkCHas2ePcnJyVLNmTUnS448/\nHlBj6yve1pjz589r7ty5mjhxouP1g4KCtG/fPp05c0ZDhw7Vhg0b9OijjzpSPz8/X8HBwWrYsKHO\nnz8vY4wuXbqk4OCiX8D39brmbS2aN2+eGjRoIOn6lagyZco4Wt+p+fU2Nk7OrbfeGzZsqHPnzjky\nt5Lv19fC9V0uV5Hm1qpQU65cOZUvX14XL17U6NGjNWbMGDVp0kSvvPKKli9frlq1aukPf/iDv9v0\ncLvdmjBhgmbMmKHY2FiZQv+4c4UKFZSVleXH7m5U0GtCQoLi4uLUtGnTgBvXNWvW6IEHHlCbNm08\nY5mfn+95PJDG9OZejTFq2rSpXn755YAa0wJly5bVsGHDtHjxYv32t79VfHy8ypYt63k8kMbWl25e\nY0aPHq2JEycqPj5e5cqVu+E97ET9sWPHKjU1VZUqVdKSJUtUtWpVLVq0yLH6Y8aMUe3atZWQkKAu\nXbooMzNT0dHRxToHX69rN69FlStXliTt27dPK1eu1JAhQxyr36VLF0fn9+axcXJub+49Li7O0bn1\n9frqrX6R5rZY14oC0OnTp03Pnj3NmjVrjDHGXLhwwfPYsWPHzJAhQ/zV2m1lZGSY9u3bm+joaM++\nTZs2menTp/uxK+8yMjJMhw4dTFpammdfoIzrgAEDzMCBA83AgQNNq1atzM9//nPTqFEjz+OBNKaF\ne23ZsqXp3bu3ycjI8DweKGNa4Nq1a+bq1aue7R49ephOnTp5tpcuXWr+9Kc/+aO1Eld4jTlw4ICJ\njY01gwYNMn369DFRUVGej3ecqG+MMW3atDHnz583xlz/GGT48OGO1m/durU5duyYMcaY5cuXm6lT\npxarfgFfr2sFa9GVK1fM3//+d9O1a1dz6tQpR2oX1G/SpInp1KmTo/NbULt9+/amdevWjs6tt/pO\nza2v19fbrYl3O7dWXanJyMjQsGHD9NJLL6lHjx6SpGHDhungwYOSpJ07d6pRo0b+bNHj/fff96Ty\nMmXKyO12q3Hjxvrss88kSdu3b1dUVJQ/W/S4uVeXy6Xf/OY3+uKLLyQFzrguX75cy5Yt07JlyxQZ\nGalZs2YpJiZGKSkpkgJrTAv32rBhQyUmJmrkyJEBN6YFkpOT9frrr0uS0tLSdOXKFZUrV04nT56U\nMUY7duwImLH1pZvXmCZNmmj9+vV69913NXfuXNWvX1/x8fGO1ZekqKgoffLJJ5KklJQUzxdXnapf\nqVIlhYaGSpIiIiJ04cKFItf39brmrf5HH32kFStWaNmyZapRo0aRa3urHx4ero0bNzoyv956b9Wq\nlbZt2yap+HPrrf59992nChUqSCr+3Pp6fb25fmJionbs2HHXc2vVf2iZkJCgjRs36qGHHpIxRi6X\nS2PHjlViYqJCQkIUHh6uadOmeSbZn65cuaL4+HhlZGQoNzdXv/rVr/TQQw9p0qRJysnJUb169TRj\nxgy5XC5/t+q116pVq3rubAikcS0wePBgTZ06VS6XS6+99lrAjWlhBb1evXo1YMc0JydH8fHxOn36\ntNxut8aPHy+3262EhATl5+erTZs2GjNmjL/b9Dlva8w777yjkJAQpaamaty4ccW6+8lb/cTERE2c\nOFFXrlxRxYoVNWfOHM9daE7UHz16tGbPnq3g4GCFhIRo+vTpql69epHq+3pdu7n+8OHDFR8fr+rV\nqys0NFQul0vR0dFFvhPPW/8dOnSQpGLPr7fakZGRjs2tt7GpVKmS3njjDUfmtjBfr6+DBw/W5MmT\nNWDAgLueW6tCDQAA+PGy6uMnAADw40WoAQAAViDUAAAAKxBqAACAFQg1AADACoQaAABgBUINAACw\nAqEGAABY4f8dL/BvDsR7wQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f243583ccf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.subplot(121)\n",
    "for idx, ic in enumerate((waic_l, waic_p)):\n",
    "    plt.errorbar(ic[0], idx, xerr=ic[1], fmt='bo')\n",
    "plt.title('WAIC')\n",
    "plt.yticks([0, 1], ['linear', 'quadratic'])\n",
    "plt.ylim(-1, 2)\n",
    "\n",
    "plt.subplot(122)\n",
    "for idx, ic in enumerate((loo_l, loo_p)):\n",
    "    plt.errorbar(ic[0], idx, xerr=ic[1], fmt='go')\n",
    "plt.title('LOO')\n",
    "plt.yticks([0, 1], ['linear', 'quadratic'])\n",
    "plt.ylim(-1, 2)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig('B04958_06_06.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Posterior predictive checks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Wcv8Xct9hYff/TH1vRdr0asHwamk3PgEJ4lyYuczp57V96Bfkg3GMMZRsme3+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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2435380358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "plt.subplot(121)\n",
    "plt.scatter(x_1s[0], y_1s, c='r');\n",
    "plt.ylim(-3, 3)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y', rotation=0)\n",
    "plt.title('Linear')\n",
    "\n",
    "\n",
    "for i in range(0, len(chain_l['alpha']), 50):\n",
    "    plt.scatter(x_1s[0], chain_l['alpha'][i] + chain_l['beta'][i]*x_1s[0], c='g',\n",
    "                edgecolors='g', alpha=0.5);\n",
    "plt.plot(x_1s[0], chain_l['alpha'].mean() + chain_l['beta'].mean()*x_1s[0], c='g', alpha=1)\n",
    "\n",
    "    \n",
    "plt.subplot(122)\n",
    "plt.scatter(x_1s[0], y_1s, c='r');\n",
    "plt.ylim(-3, 3)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y', rotation=0)\n",
    "plt.title('Order {}'.format(order))\n",
    "for i in range(0, len(chain_p['alpha']), 50):\n",
    "    plt.scatter(x_1s[0], chain_p['alpha'][i] + np.dot(chain_p['beta'][i], x_1s), c='g',\n",
    "                edgecolors='g', alpha=0.5)\n",
    "idx = np.argsort(x_1)\n",
    "plt.plot(x_1s[0][idx], alpha_p_post + np.dot(betas_p_post, x_1s)[idx], c='g', alpha=1);\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('B04958_06_07.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayes factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "coins = 30 # 300\n",
    "heads = 9 # 90\n",
    "y = np.repeat([0, 1], [coins-heads, heads])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n",
      "WARNING:theano.tensor.blas:We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n",
      "100%|██████████| 5000/5000 [00:05<00:00, 990.61it/s] \n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_BF:\n",
    "    p = np.array([0.5, 0.5])\n",
    "    model_index = pm.Categorical('model_index', p=p)\n",
    "    \n",
    "    m_0 = (4, 8)\n",
    "    m_1 = (8, 4)\n",
    "    m = pm.math.switch(pm.math.eq(model_index, 0), m_0, m_1)\n",
    "\n",
    "    # a priori\n",
    "    theta = pm.Beta('theta', m[0], m[1])\n",
    "    # likelihood\n",
    "    y = pm.Bernoulli('y', theta, observed=y)\n",
    "     \n",
    "    trace_BF = pm.sample(5000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.960666666667 0.0393333333333 24.4237288136\n"
     ]
    },
    {
     "data": {
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pw6FWy9DOeZ4YQ6PpGMxZbQyqn20u16tqrIK0fB6Xlrvan9u4Lm2jUoYDAKKj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\nlUqxePFiPPHEE1i9ejU2bNiAnTt3Bl3n+uuvR0VFBZYsWYK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oleFvrycJgjvo0+m6v62Y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\nQgghhBBCCHHR/wOiWW8bgBUd4wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ffac7056278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_BF = trace_BF[500:]\n",
    "pm.traceplot(chain_BF)\n",
    "pM1 = chain_BF['model_index'].mean()\n",
    "pM0 = 1 - pM1\n",
    "print(pM0, pM1, (pM0/pM1)*(p[1]/p[0]))\n",
    "plt.savefig('B04958_06_09.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 5000/5000 [00:02<00:00, 1709.83it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_BF_0:\n",
    "    theta = pm.Beta('theta', 4, 8)\n",
    "    y = pm.Bernoulli('y', theta, observed=y)\n",
    "    \n",
    "    trace_BF_0 = pm.sample(5000)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NvnKnp6ugVUWuG/mXs97M+JZvtQOjUhSQSUQQBAE2B4/jp6wd141OjaY2p+9e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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ffac1c63898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_BF_0 = trace_BF_0[500:]\n",
    "pm.traceplot(trace_BF_0)\n",
    "plt.savefig('B04958_06_10.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 5000/5000 [00:02<00:00, 2098.74it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_BF_1:\n",
    "    theta = pm.Beta('theta', 8, 4)\n",
    "    y = pm.Bernoulli('y', theta, observed=y)\n",
    "    \n",
    "    trace_BF_1 = pm.sample(5000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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v/CRfQodvIqDhZLULaGyzuaM+Gttsfh6TYDepS5EPd4UFWm7t8F4B3l4Xz8Nq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\nQgghhBCiD/4fl34uq0hpKJoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ffac3a36438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_BF_1 = trace_BF_1[500:]\n",
    "pm.traceplot(chain_BF_1)\n",
    "plt.savefig('B04958_06_11.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(38.142143128303665, 4.2546178793313958)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "waic_0 = pm.waic(chain_BF_0, model_BF_0)\n",
    "waic_0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(39.373190678875915, 2.0225338617453903)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "waic_1 = pm.waic(chain_BF_1, model_BF_1)\n",
    "waic_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/pymc3/stats.py:192: UserWarning: Estimated shape parameter of Pareto distribution\n",
      "        is for one or more samples is greater than 0.5. This may indicate\n",
      "        that the variance of the Pareto smoothed importance sampling estimate\n",
      "        is very large.\n",
      "  is very large.\"\"\")\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(36.64447653192989, 4.0235302895769234)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loo_0 = pm.loo(chain_BF_0, model_BF_0)\n",
    "loo_0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/pymc3/stats.py:192: UserWarning: Estimated shape parameter of Pareto distribution\n",
      "        is for one or more samples is greater than 0.5. This may indicate\n",
      "        that the variance of the Pareto smoothed importance sampling estimate\n",
      "        is very large.\n",
      "  is very large.\"\"\")\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(38.051221773420316, 1.9194817481688398)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loo_1 = pm.loo(chain_BF_1, model_BF_1)\n",
    "loo_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UpqioKB08eND1Dunqr2JOnz7d9e4LKA1/DAngtwluQswYlBftm9ZQ4zrl5q/fCqPcHNHI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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f242c2f8c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "est = [((38.02, 4.17), (39.41, 2.04)), ((36.69, 3.96), (38.09, 1.94)),\n",
    "       ((368.41, 13.40), (368.76, 12.48)) , ((366.61, 13.31), (366.87, 12.34))]\n",
    "\n",
    "title = ['WAIC 30_9', 'LOO 30_9', 'WAIC 300_90', 'LOO 300_90']\n",
    "\n",
    "for i in range(4):\n",
    "    plt.subplot(2,2,i+1)\n",
    "    for idx, ic in enumerate(est[i]):\n",
    "        plt.errorbar(ic[0], idx, xerr=ic[1], fmt='bo')\n",
    "    plt.title(title[i])\n",
    "    plt.yticks([0, 1], ['model_0', 'model_1'])\n",
    "    plt.ylim(-1, 2)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig('B04958_06_12.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was created on a x86_64 computer running debian stretch/sid and using:\n",
      "Python 3.5.2\n",
      "IPython 5.0.0\n",
      "PyMC3 3.0.rc2\n",
      "NumPy 1.11.1\n",
      "SciPy 0.18.1\n",
      "Matplotlib 1.5.3\n",
      "Seaborn 0.7.1\n"
     ]
    }
   ],
   "source": [
    "import sys, IPython, scipy, matplotlib, platform\n",
    "print(\"This notebook was created on a %s computer running %s and using:\\nPython %s\\nIPython %s\\nPyMC3 %s\\nNumPy %s\\nSciPy %s\\nMatplotlib %s\\nSeaborn %s\" % (platform.machine(), ' '.join(platform.linux_distribution()[:2]), sys.version[:5], IPython.__version__, pm.__version__, np.__version__, scipy.__version__, matplotlib.__version__, sns.__version__))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
